Sound does not get imported into Premiere Pro

Problem

When you record a video using an iPhone or iPad with sound, you attempt to import it into Adobe Premiere to edit, only to find the sound has been removed.

Workaround

Install and use Handbrake: a free video conversion tool.

Import your video into Handbrake.

Select Audio and change the output to AAC Passthru and convert. The resulting video will have sound when imported into Adobe Premiere.