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Finding the Third Proportional to 1,241,226,593 and 2,700,375,514

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Solution

The third proportional to 1,241,226,593 and 2,700,375,514 is: 5,874,856,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,226,593 : 2,700,375,514 = 2,700,375,514 : x
  2. Step 2: Convert to fraction form
    1,241,226,593/2,700,375,514 = 2,700,375,514/x
  3. Step 3: Cross multiply
    1,241,226,593x = 2,700,375,514 × 2,700,375,514
  4. Step 4: Simplify right side
    1,241,226,593x = 7,292,027,916,610,763,776
  5. Step 5: Solve for x
    x = 7,292,027,916,610,763,776/1,241,226,593
  6. Step 6: Final answer
    x = 5,874,856,337.86

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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.