The Cultural Exchange Chapter AKA Chapter 37.2 "Gate - Thus the JSDF Fought There!" is in manga Volume 5 additional chapter some comics laughing at the Gate series. Another four pages of comics.

Note is its duplicated as 41.2 thus Chapter 41 would be Previous chapter and Chapter 42 would be the Next chapter if it is there.

Plot

These are more illustrated jokes than a plot. Smile and laugh while you can.

The four frame comic titles are: Sports Exchange, Alnus Hot Springs, Skill, Legendary Meat, Bacchus, Spread, and Big Fluffy Strategy,