However, Savea went over twice before the break and although Carter lost his goalkicking touch, with three misses out of eight, it did not matter as the All Blacks scored as many tries in La Plata as they did in the previous four Tests.
Earlier in Pretoria, South Africa changed the emphasis from kicking to running with the ball and scored five tries to crush Australia at Loftus Versfeld.
Veteran right wing Bryan Habana ran in three and there was one each for fullback Zane Kirchner and flank Francois Louw as the Springboks ended a run of five losses against the Wallabies after leading 14-3 at the break.
Scrumhalf Ruan Pienaar, who took over the kicking duties after new flyhalf Johan Goosen missed two early shots at goal, completed the scoring with three conversions.
Poor kicking was the one disappointment as the Springboks got back on the winning trail after a three-match winless run as Pienaar failed with four penalty attempts.
Australia have been plagued by injuries throughout the Championship and it only got worse at Loftus with numerous casualties, including center Adam Ashley-Cooper, who was taken to hospital with concussion before the break.
The visitors had to play the last eight minutes a man short after making all seven replacements and they were also reduced to 14 men early in the second half when replacement prop James Slipper was sin-binned.
Kurtley Beale, making his first start at flyhalf for the Wallabies, kicked a first-half penalty and replacement back Mike Harris went over in the corner for a try after the Springboks had built a 23-point advantage, but razor-sharp Habana had the final say, rounding off another good handling movement in the final minute to raise his career total to 46 tries against demoralized opponents.