Hello Anon, I suspect that the question-setters want you to imply a comparison between one place ("the equator") and every other possible place in turn ("anywhere else"). They would probably argue that "everywhere else" implies that the comparison is between one place and the conglomerate of every other possible place. However, I'm not convinced that most native speakers would observe the distinction.
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CalifJimThe word with any- is used in preference to the word with every- after the than (or as) of a comparison. Note that else or other are usually present as well.
This pen is better/worse than any other.
That kind of hat can be bought more easily in Mexico than anywhere else.
Sam plays footbal
Does the lack of "other" or "else" make them wrong?No. Not at all.