Trig given tan ratio find tan of doubles ratio

[CaptainFactorino]

let \frac{\tan x}{\tan y} = \frac 13 and \frac{\sin{2x}}{\sin{2y}} = \frac 34 where 0 < x,y<\frac{\pi}{2}

What’s the value of \frac{\tan{2x}}{\tan{2y}}