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Finding the Third Proportional to 31,517,334 and 69,013,566

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Solution

The third proportional to 31,517,334 and 69,013,566 is: 151,119,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517,334 : 69,013,566 = 69,013,566 : x
  2. Step 2: Convert to fraction form
    31,517,334/69,013,566 = 69,013,566/x
  3. Step 3: Cross multiply
    31,517,334x = 69,013,566 × 69,013,566
  4. Step 4: Simplify right side
    31,517,334x = 4,762,872,292,036,356
  5. Step 5: Solve for x
    x = 4,762,872,292,036,356/31,517,334
  6. Step 6: Final answer
    x = 151,119,136.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.