I'm not sure what "second rank" is, as we don't really have that concept in the US, but I imagine that the "the" is optional.
"The" is absolutely optional here.
I would also prefer to say "second place".
In my country, second rank would mean second class... for ex. second class seats to a show
Why isn't it 'kedua'?
Indeed, in the previous "same"sentence the option was "kedua" ... makes more sense to me