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Finding the Third Proportional to 444,207,958,982 and 676,720,098,921

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Solution

The third proportional to 444,207,958,982 and 676,720,098,921 is: 1,030,936,260,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,207,958,982 : 676,720,098,921 = 676,720,098,921 : x
  2. Step 2: Convert to fraction form
    444,207,958,982/676,720,098,921 = 676,720,098,921/x
  3. Step 3: Cross multiply
    444,207,958,982x = 676,720,098,921 × 676,720,098,921
  4. Step 4: Simplify right side
    444,207,958,982x = 457,950,092,283,648,027,918,336
  5. Step 5: Solve for x
    x = 457,950,092,283,648,027,918,336/444,207,958,982
  6. Step 6: Final answer
    x = 1,030,936,260,874.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.