Granada and Troche had eight birdies and one bogey in better-ball format and finished the tournament at 9-under-par 279 -- the best overall score in the three years of this event.
They beat 21 other teams in wire-to-wire fashion, turning the four-shot lead they held after each of the first two rounds into a seven-shot win over Pat Hurst and Juli Inkster of the United States.
And they did it going away, posting back-to-back birdies on the last two holes. Their only bogey came at the par-5 first, after which they went on to birdie eight of the last 17.
Granada, 20, and Troche, 26, claimed $120,000 apiece for the win -- a small prize compared to Granada's $1 million win at the ADT Championship last season, but that thought was far from her mind.
'Hopefully this win will boost golf back home in Paraguay and get the young girls interested,' Granada said.
Hurst and Inkster got better each day and closed with a 5-under 67, finishing a distant second place at 2-under 286.
South Korea's Ji Yai Shin and Young Kim also had a 67 and were a shot further back at 287. Italy (71) and Scotland (68) tied for fourth place at 1-over 289.
The first two World Cup champions, Japan and Sweden respectively, remained non factors throughout the three rounds. Japan finished tied for 14th at 12 over par, and Sweden was eight shots further back in 18th place.