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Finding the Third Proportional to 558,883,850,337 and 1,215,690,059,874

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Solution

The third proportional to 558,883,850,337 and 1,215,690,059,874 is: 2,644,381,870,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,883,850,337 : 1,215,690,059,874 = 1,215,690,059,874 : x
  2. Step 2: Convert to fraction form
    558,883,850,337/1,215,690,059,874 = 1,215,690,059,874/x
  3. Step 3: Cross multiply
    558,883,850,337x = 1,215,690,059,874 × 1,215,690,059,874
  4. Step 4: Simplify right side
    558,883,850,337x = 1,477,902,321,676,449,692,516,352
  5. Step 5: Solve for x
    x = 1,477,902,321,676,449,692,516,352/558,883,850,337
  6. Step 6: Final answer
    x = 2,644,381,870,732.70

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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.