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Finding the Third Proportional to 31,517,338 and 69,013,574

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Solution

The third proportional to 31,517,338 and 69,013,574 is: 151,119,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517,338 : 69,013,574 = 69,013,574 : x
  2. Step 2: Convert to fraction form
    31,517,338/69,013,574 = 69,013,574/x
  3. Step 3: Cross multiply
    31,517,338x = 69,013,574 × 69,013,574
  4. Step 4: Simplify right side
    31,517,338x = 4,762,873,396,253,476
  5. Step 5: Solve for x
    x = 4,762,873,396,253,476/31,517,338
  6. Step 6: Final answer
    x = 151,119,152.14

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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.