Is the phrase "Like many another" correct in standard English?

I've come across "like many another" in a GMAT question. Its use is similar to "Like many other" e.g. "Like many another in his class, John is thirteen years old."

It has 1M hits in google (compare to 135M for "like many other"). I would like to know if it's a mistake or an uncommon but standard phrase.

Solution 1:

If I'm not mistaken, another is a contraction of an other, but since an/a mean singular, saying many another would seem incorrect.

Solution 2:

The Free Dictionary as well as Merriam-Webster say that "many a/another" expresses "each of a large indefinite number".

"many a man"

"many another day will come"

In German it would be translated as "so manch", "manch ein".

Solution 3:

Compare 1M and 135M, I don't think "like many another" is a standard phrase. I haven't seen it before until now in this question, and I don't think it's correct either.