In a large mixing bowl, stir together everything except for the apples.
1 tablespoon lemon juice, 1 teaspoon vanilla extract, 1/4 cup (50 grams) granulated sugar, 1/4 cup (50 grams) brown sugar, 2 teaspoons cornstarch, 1 teaspoon ground cinnamon, 1/8 teaspoon ground nutmeg, pinch salt, 4 medium Granny Smith apples
Then stir in the apples and coat thoroughly in the liquid mixture.
Take the crust and crumb topping out of the refrigerator.
Place the apples (and all the juice that has accumulated at the bottom of the bowl) into to unbaked tart crust. Do not worry about placing them in neatly - they will cook down.
Place the tart on a clean workspace away from the counter's edge. Top with the crumb topping. Note that it will be piled several inches above the rim of the tart pan.
Place the tart on a baking sheet to catch any spills.
Bake for 10 minutes at 450°F and then turn the heat down to 350 °F.
Bake for another 40-45 minutes or until the topping is firm and the filling is bubbling.
If you notice the topping is browning too quickly, cover it with foil and place the tart on the bottom rack of the oven.
If not using a 9" or 10" tart pan, you'll need to adjust the baking time accordingly.
Let cool completely. If you cut into the tart while it's still warm, it may be difficult to cut a clean piece.
Dust with powdered sugar or top with ice cream.
powdered sugar
Cover and store at room temperature for up to 2 days and then refrigerate any leftovers.