A flowing move from left to right created space for Taukei'aho after the restart, although Boffelli's excellent stretching catch on the left then allowed him to get the ball grounded before he was taken into touch by a combination of Jordie Barrett and Jordan.
That prompted an improved Argentina spell, yet the All Blacks countered effectively and Vaa'i was unmarked to complete the scoring.
Will makes it work... eventually
Jordan was influential in much of the All Blacks' best work, but he was also involved in two of their disallowed tries. The wing was just ahead of Taukei'aho before racing through to score and then played a forward pass of his own to Ioane following a superb take from Damian McKenzie's kick.
Jordan got it right for the first try of the second half, however, unloading a superb ball to Taukei'aho.
Celebration against the Springboks?
The All Blacks have now won nine Tests on the bounce, last enjoying a longer run between August 2015 and October 2016 (18 wins), and the next one should be special – their 100th meeting with the Springboks.
Anything less than a bonus-point South Africa win, with New Zealand failing to earn a losing bonus, would see last year's Tri-Nations champions crowned again.