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1 gtt Metric = 0.000000055 sh tn wt.
1 sh tn wt. = 18,143,694.80 gtt Metric
Definition of drops of water provided by WikiPedia
The drop is a unit of measure of volume, the amount dispensed as one drop from a dropper or drip chamber. It is often used in giving quantities of liquid drugs to patients, and occasionally in cooking. The volume of a drop is not well-defined: it depends on the device and technique used to produce the drop, on the strength of the gravitational field, and on the density and the surface tension of the liquid
Definition of US short ton of water provided by WikiPedia
In the United States, a short ton is usually known simply as a “ton”, without distinguishing it from the tonne (1,000 kilograms or 2,204.62262 pounds), known there as the “metric ton”, or the long ton (2,240 pounds or 1,016.0469088 kilograms), known there as the “Imperial ton”. There are, however, some US applications where unspecified tons normally means long tons (for example, Navy ships) or metric tons (world grain production figures).