There are three vessels of 10 liters in which the ratio of milk and water is 2 : 1, 3 : 1, and 3 : 2 respectively. If all three utensils are put in a large vessel, find the ratio of milk and water in the new mixture?

For each vessel, calculate actual milk and water quantities separately using ratio parts, then sum across vessels. Vessel 1 (2:1): Milk=20/3 L, Water=10/3 L. Vessel 2 (3:1): Milk=15/2 L, Water=5/2 L. Vessel 3 (3:2): Milk=6 L, Water=4 L. Total Milk=121/6 L, Total Water=59/6 L. Ratio = (121/6):(59/6) = 121:59 after cancelling the common denominator.