Whole Citrus Margaritas

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4 navel oranges, cut into 3/4-inch pieces

2 lemons, cut into 3/4-inch pieces

2 limes, cut into 3/4-inch pieces

1/2 cup superfine sugar

1/4 cup Cointreau

1/4 cup Triple Sec

1 1/2 cups good quality tequila (recommended: 100 percent agave)

To serve:

10 cups ice

Fine salt, for the rims of the glasses

10 lime wedges