I think your math is off a little. But it may be off a lot.Detergent is always used in tiny quantities... for example, dish soap, a teaspoon does 20 liters, 20,000ml of water, or washing a typical family of four meals worth of dishes, so that's 5ml into 20,000 already, but it's lower than that even, because dish soap is 10% active ingredients and 90% water, salt, perfume, color and crap. Even if you give a goodass squirt for Thanksgiving pans cleanup you probably don't exceed 0.3 per thousand. Same with laundry detergent, even "concentrated" or garage hand cleaner, it's all bulked up, actual detergent content is relatively little.
Best data on the internet for popular "Dawn" liquid dish soap is the bottles contain 55% to 70% water depending on exact variety.
To do a decent job, use your 5ml into 5 or 10 liters. But what works BEST is put a drop or two (half a mL?) on a wet sponge or brush and apply the concentrate directly to the plate. No?
Also, what percent of soil is grease / fat / water insolubles vs. sugars and salt and starches that are water soluble even if detergent wasn't present at all?
Your point is well taken though, even if off math wise.
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