Wikipedia mentions a version by Vera Il'inichna Matveeva which is here(with a discussion about whether a good Russian should be singing songs by Kipling)
. . S. Valozhyn -Vera Matveeva. Polonsky. Kipling.
...for the mp3 go down a page or two to the fourth blue play button 'TYT'
(or use a translate button?)

This is also credited to Vera Matveeva but sung by Viktor Verstakov.(lyrics and YouTube)
. http://prevodi-tekstova.com/pesma/pokazati/1763527/vera-matveeva/tekst-i-prevod-na-doroge-v-mandalej/

. http://www.viktorverstakov.narod.ru

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