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Finding the Third Proportional to 8,138,777,512 and 17,629,967,978

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Solution

The third proportional to 8,138,777,512 and 17,629,967,978 is: 38,189,491,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138,777,512 : 17,629,967,978 = 17,629,967,978 : x
  2. Step 2: Convert to fraction form
    8,138,777,512/17,629,967,978 = 17,629,967,978/x
  3. Step 3: Cross multiply
    8,138,777,512x = 17,629,967,978 × 17,629,967,978
  4. Step 4: Simplify right side
    8,138,777,512x = 310,815,770,905,305,415,680
  5. Step 5: Solve for x
    x = 310,815,770,905,305,415,680/8,138,777,512
  6. Step 6: Final answer
    x = 38,189,491,044.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.