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Finding the Third Proportional to 2,425,217,560 and 5,262,070,682

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Solution

The third proportional to 2,425,217,560 and 5,262,070,682 is: 11,417,279,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,217,560 : 5,262,070,682 = 5,262,070,682 : x
  2. Step 2: Convert to fraction form
    2,425,217,560/5,262,070,682 = 5,262,070,682/x
  3. Step 3: Cross multiply
    2,425,217,560x = 5,262,070,682 × 5,262,070,682
  4. Step 4: Simplify right side
    2,425,217,560x = 27,689,387,862,363,947,008
  5. Step 5: Solve for x
    x = 27,689,387,862,363,947,008/2,425,217,560
  6. Step 6: Final answer
    x = 11,417,279,966.57

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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.