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Finding the Third Proportional to 39,292,872.19 and 82,657,528.31

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Solution

The third proportional to 39,292,872.19 and 82,657,528.31 is: 173,880,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,292,872.19 : 82,657,528.31 = 82,657,528.31 : x
  2. Step 2: Convert to fraction form
    39,292,872.19/82,657,528.31 = 82,657,528.31/x
  3. Step 3: Cross multiply
    39,292,872.19x = 82,657,528.31 × 82,657,528.31
  4. Step 4: Simplify right side
    39,292,872.19x = 6,832,266,986,731,739
  5. Step 5: Solve for x
    x = 6,832,266,986,731,739/39,292,872.19
  6. Step 6: Final answer
    x = 173,880,569.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.