Convert from shot to gallon [US, dry]

Unit Definition (shot)
The shot is a traditional unit of liquid volume. The term "shot" is often used informally to mean "a small serving." In the U.S. a shot is legally equal to one fluid ounce or 29.574 milliliters. However, many bartenders use larger shot glasses holding 1.25 fluid ounces (37.0 milliliters), and some shot glasses hold the same as a jigger: 1.5 fluid ounces or 44.4 milliliters.

Unit Definition (gallon [US, dry])
The gallon [US, dry] is a historic British unit of dry volume still used implicitly in the U.S. In the U.S., the term "gallon" is not used in dry measure, but if it were it would be equal to 1/2 peck, or 4 dry quarts, or 268.8025 cubic inches, or approximately 4.404 884 liters. This unit is the English corn or grain gallon, standardized during the reign of Elizabeth I in the sixteenth century. The earliest official definition of a dry gallon in Britain is a 1303 proclamation of Edward I, where the gallon is defined as the volume of 8 pounds of wheat; the current U.S. "gallon" contains about 7.5 pounds of wheat. Grain gallons have tended to be larger than liquid gallons throughout the history of British units, apparently because they were based on heaped rather than "struck" (leveled) containers. A container in which grain has been heaped above the top will hold as much as 25% more grain, and the traditional corn gallon is in fact 16.4% larger than the wine gallon.