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Finding the Third Proportional to 247,468,614 and 537,500,542.50

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Solution

The third proportional to 247,468,614 and 537,500,542.50 is: 1,167,448,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,468,614 : 537,500,542.50 = 537,500,542.50 : x
  2. Step 2: Convert to fraction form
    247,468,614/537,500,542.50 = 537,500,542.50/x
  3. Step 3: Cross multiply
    247,468,614x = 537,500,542.50 × 537,500,542.50
  4. Step 4: Simplify right side
    247,468,614x = 288,906,833,187,794,304
  5. Step 5: Solve for x
    x = 288,906,833,187,794,304/247,468,614
  6. Step 6: Final answer
    x = 1,167,448,382.72

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Why These Related Problems?

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