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Finding the Third Proportional to 257,171,624 and 564,287,614

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Solution

The third proportional to 257,171,624 and 564,287,614 is: 1,238,163,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,171,624 : 564,287,614 = 564,287,614 : x
  2. Step 2: Convert to fraction form
    257,171,624/564,287,614 = 564,287,614/x
  3. Step 3: Cross multiply
    257,171,624x = 564,287,614 × 564,287,614
  4. Step 4: Simplify right side
    257,171,624x = 318,420,511,313,812,992
  5. Step 5: Solve for x
    x = 318,420,511,313,812,992/257,171,624
  6. Step 6: Final answer
    x = 1,238,163,473.72

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Why These Related Problems?

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