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Finding the Third Proportional to 20,661,832,832,553 and 44,389,948,169,463

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Solution

The third proportional to 20,661,832,832,553 and 44,389,948,169,463 is: 95,367,507,541,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661,832,832,553 : 44,389,948,169,463 = 44,389,948,169,463 : x
  2. Step 2: Convert to fraction form
    20,661,832,832,553/44,389,948,169,463 = 44,389,948,169,463/x
  3. Step 3: Cross multiply
    20,661,832,832,553x = 44,389,948,169,463 × 44,389,948,169,463
  4. Step 4: Simplify right side
    20,661,832,832,553x = 1,970,467,498,487,611,615,589,957,632
  5. Step 5: Solve for x
    x = 1,970,467,498,487,611,615,589,957,632/20,661,832,832,553
  6. Step 6: Final answer
    x = 95,367,507,541,882.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.