Except Google Translate, which is just a statistical analysis of a huge corpus.

Yes, of texts available in multiple languages. Which were originally translated by humans.

This is wildly inaccurate.

This is only wildly inaccurate, if you include rule based translation, which is based on hand-crafted models.

All statistical machine translation, of which Google Translate is one is based on professional translations. As far as I know all published methods rely on aligning them sentence-by-sentence.