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Finding the Third Proportional to 20,188,944,531 and 44,177,337,918

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Solution

The third proportional to 20,188,944,531 and 44,177,337,918 is: 96,668,609,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188,944,531 : 44,177,337,918 = 44,177,337,918 : x
  2. Step 2: Convert to fraction form
    20,188,944,531/44,177,337,918 = 44,177,337,918/x
  3. Step 3: Cross multiply
    20,188,944,531x = 44,177,337,918 × 44,177,337,918
  4. Step 4: Simplify right side
    20,188,944,531x = 1,951,637,185,521,160,552,448
  5. Step 5: Solve for x
    x = 1,951,637,185,521,160,552,448/20,188,944,531
  6. Step 6: Final answer
    x = 96,668,609,026.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.