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Finding the Third Proportional to 32,042,585 and 68,861,680

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Solution

The third proportional to 32,042,585 and 68,861,680 is: 147,988,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042,585 : 68,861,680 = 68,861,680 : x
  2. Step 2: Convert to fraction form
    32,042,585/68,861,680 = 68,861,680/x
  3. Step 3: Cross multiply
    32,042,585x = 68,861,680 × 68,861,680
  4. Step 4: Simplify right side
    32,042,585x = 4,741,930,972,422,400
  5. Step 5: Solve for x
    x = 4,741,930,972,422,400/32,042,585
  6. Step 6: Final answer
    x = 147,988,402.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.