Finding the Third Proportional to 852,734,699,539 and 1,896,128,706,953
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Solution
The third proportional to 852,734,699,539 and 1,896,128,706,953 is: 4,216,204,729,647.95
Step by Step Solution
- Step 1: Write the proportion equation
852,734,699,539 : 1,896,128,706,953 = 1,896,128,706,953 : x - Step 2: Convert to fraction form
852,734,699,539/1,896,128,706,953 = 1,896,128,706,953/x - Step 3: Cross multiply
852,734,699,539x = 1,896,128,706,953 × 1,896,128,706,953 - Step 4: Simplify right side
852,734,699,539x = 3,595,304,073,331,255,992,647,680 - Step 5: Solve for x
x = 3,595,304,073,331,255,992,647,680/852,734,699,539 - Step 6: Final answer
x = 4,216,204,729,647.95
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.