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Finding the Third Proportional to 252,107,474 and 548,386,516

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Solution

The third proportional to 252,107,474 and 548,386,516 is: 1,192,855,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,107,474 : 548,386,516 = 548,386,516 : x
  2. Step 2: Convert to fraction form
    252,107,474/548,386,516 = 548,386,516/x
  3. Step 3: Cross multiply
    252,107,474x = 548,386,516 × 548,386,516
  4. Step 4: Simplify right side
    252,107,474x = 300,727,770,930,618,240
  5. Step 5: Solve for x
    x = 300,727,770,930,618,240/252,107,474
  6. Step 6: Final answer
    x = 1,192,855,436.45

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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.