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Finding the Third Proportional to 252,107,472 and 548,386,512

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Solution

The third proportional to 252,107,472 and 548,386,512 is: 1,192,855,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,107,472 : 548,386,512 = 548,386,512 : x
  2. Step 2: Convert to fraction form
    252,107,472/548,386,512 = 548,386,512/x
  3. Step 3: Cross multiply
    252,107,472x = 548,386,512 × 548,386,512
  4. Step 4: Simplify right side
    252,107,472x = 300,727,766,543,526,144
  5. Step 5: Solve for x
    x = 300,727,766,543,526,144/252,107,472
  6. Step 6: Final answer
    x = 1,192,855,428.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.