The Short Version
The claim that stacked bacteria would stretch "10 billion light-years" is misleading. Using the most widely cited estimate of ~5×10³⁰ bacteria at ~2 µm average length, the stack reaches roughly 1 billion light-years — a full order of magnitude less. Even generous assumptions (including archaea) yield ~6 billion light-years. The only sources citing "10 billion" are popular trivia pages, while the original 1998 Whitman estimate actually claimed "a trillion light-years." The general concept of an astronomically vast distance is valid, but the specific figure is not mathematically supported.