Start by adding 6 cups of cold water, 5 lime wedges, and 1/2 cup of granulated sugar into a blender. Secure the lid and blend on high speed for about 30 seconds, or until the mixture is smooth and well combined.

Next, pour the blended mixture through a fine mesh strainer over a large bowl, using a spatula to press down the pulp and extract all the flavorful liquid. Discard the pulp.

Rinse the blender, return the strained liquid back into it, then add in 1/4 cup of sweetened condensed milk and blend on high until the mixture is smooth and frothy.

Fill tall glasses with ice and pour the creamy lemonade over it, optionally garnishing with extra lime slices.