Various examples are provided for global electrical power multiplication. In one example, a global power multiplier includes first and second guided surface waveguide probes separated by a distance equal to a quarter wavelength of a defined frequency and configured to launch synchronized guided surface waves along a surface of a lossy conducting medium at the defined frequency; and at least one excitation source configured to excite the first and second guided surface waveguide probes at the defined frequency, where the excitation of the second guided surface waveguide probe at the defined frequency is 90 degrees out of phase with respect to the excitation of the first guided surface waveguide probe. In another example, a method includes launching synchronized guided surface waves along a surface of a lossy conducting medium by exciting first and second guided surface waveguide probes to produce a traveling wave propagating along the surface.