Stuart Lancaster's side have matched the world champions during the first two Test matches, but they were blown away on Saturday by a blistering performance from the All Blacks.
© Getty Images
Freddie Burns reduced the deficit to two points soon afterwards, but Savea had his second try a minute later after showing fine touch to scoop a low ball before side-stepping the England defence.
England went into the break 29-6 down, but they returned for the second half determined to end the series on a high, and Marland Yarde wasted little time in recording a try after good work from Ben Youngs and Manu Tuilagi.
However, despite a topsy-turvy half that saw both teams display their attacking power, neither team could add to the scoreline throughout the second period until Savea capped off a fine display with a try in the final minute.
New Zealand retrieved the ball on the right flank before releasing the 23-year-old in the centre, bulldozing his way to the line to seal an emphatic win for his team.