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Finding the Third Proportional to 287,491,614 and 625,354,820

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Solution

The third proportional to 287,491,614 and 625,354,820 is: 1,360,278,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,491,614 : 625,354,820 = 625,354,820 : x
  2. Step 2: Convert to fraction form
    287,491,614/625,354,820 = 625,354,820/x
  3. Step 3: Cross multiply
    287,491,614x = 625,354,820 × 625,354,820
  4. Step 4: Simplify right side
    287,491,614x = 391,068,650,897,232,384
  5. Step 5: Solve for x
    x = 391,068,650,897,232,384/287,491,614
  6. Step 6: Final answer
    x = 1,360,278,463.28

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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.