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Finding the Third Proportional to 31,266,141.75 and 67,914,627.19

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Solution

The third proportional to 31,266,141.75 and 67,914,627.19 is: 147,520,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,266,141.75 : 67,914,627.19 = 67,914,627.19 : x
  2. Step 2: Convert to fraction form
    31,266,141.75/67,914,627.19 = 67,914,627.19/x
  3. Step 3: Cross multiply
    31,266,141.75x = 67,914,627.19 × 67,914,627.19
  4. Step 4: Simplify right side
    31,266,141.75x = 4,612,396,586,017,114
  5. Step 5: Solve for x
    x = 4,612,396,586,017,114/31,266,141.75
  6. Step 6: Final answer
    x = 147,520,491.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.