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Finding the Third Proportional to 32,083,641 and 69,281,757

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Solution

The third proportional to 32,083,641 and 69,281,757 is: 149,607,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083,641 : 69,281,757 = 69,281,757 : x
  2. Step 2: Convert to fraction form
    32,083,641/69,281,757 = 69,281,757/x
  3. Step 3: Cross multiply
    32,083,641x = 69,281,757 × 69,281,757
  4. Step 4: Simplify right side
    32,083,641x = 4,799,961,853,007,049
  5. Step 5: Solve for x
    x = 4,799,961,853,007,049/32,083,641
  6. Step 6: Final answer
    x = 149,607,765.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.