The newly-formed Wallabies, under coach Joe Schmidt, were rejuvenated after beating Georgia 40-29 in a thrilling one-off Test match in Sydney on Saturday.
Australia scored three times in a powerful opening 20-minute burst, ending the first half with a decisive 26-10 lead on a clear but windy afternoon.
They had to fend off a tenacious Georgia fightback in the second half, but won easily in a tight game in which they scored 10 tries.
New Zealand-born Schmidt’s tenure has started perfectly after Australia won back-to-back Test matches against Wales earlier this month.
Underdogs Georgia, ranked 12th in the world, barely managed a win over Japan in Sendai.
But they regretted their slow start and struggled to cope with Australia’s pace as scrum-half Tate McDermott repeatedly outplayed Georgia’s sloppy defence.
This is the third time the two teams have met and the first time outside the World Cup.
Schmidt continued his experimentation for Australia’s final game before the Rugby Championship in August, when they will play back-to-back games against reigning world champions South Africa.
Winger Darby Lancaster made his debut amid 10 changes to the starting line-up. The Wallabies were wary of most Georgians playing at club level in France, which has raised optimism that they can become a top-class rugby nation.
But Georgia suffered a blow in their first match in Australia since the 2003 World Cup when captain Beka Gorgadze was sidelined after sustaining an injury against Japan.
Georgia had to make the most of their opportunity and the tension was relieved after just two minutes when Luka Matkaba converted a precise penalty.
But Australia responded quickly when Hunter Paisami rushed for the opening try.
Samoan Paisami burst onto the scene as Australia went 19-3 ahead after Rob Ballettini and Isaac Kailea scored.
But Georgia fought their way back into the contest with long possessions and were rewarded with a brace from Giorgi Babunashvili.
Their comeback was short-lived as Fraser McWright finished off a superb set-piece just before half-time.
The Wallabies went into the second half with one man fewer after Filippo Daugnu’s yellow card for a clumsy lunge was upgraded to a red card just after half-time.
“It’s hard to understand,” Alana Ferguson said, but added that “it makes sense legally.”
Georgia opened the scoring after Davit Niniashvili’s free kick bounced off an opponent’s line and rolled under the crossbar.
Then came a brilliant moment when Akaki Tabuchandze stole the ball from Lancaster and ran unhindered under the bar.
But Australia continued their winning streak with performances from Ballettini and McWright.
Alex Hodgman became the fourth player to represent both New Zealand and Australia in Test rugby, with the loosehead prop taking the field as a second-half substitute.
