Serial chaining of LED strips
Be careful about what you mean by "in series". If you mean that you're connecting the two inputs of one strip to the two outputs of another, you're really connecting them in parallel electrically, and yes, your concern about the maximum current that the first strip in the sequence (the one closest to the power supply) can handle is valid.

On the other hand, if you connect the positive input of one strip to the negative input of the other, you have them in series electrically. In this case, you would need twice the voltage, but at the same current as a single strip.