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Finding the Third Proportional to 8,138,777,508 and 17,629,967,970

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Solution

The third proportional to 8,138,777,508 and 17,629,967,970 is: 38,189,491,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138,777,508 : 17,629,967,970 = 17,629,967,970 : x
  2. Step 2: Convert to fraction form
    8,138,777,508/17,629,967,970 = 17,629,967,970/x
  3. Step 3: Cross multiply
    8,138,777,508x = 17,629,967,970 × 17,629,967,970
  4. Step 4: Simplify right side
    8,138,777,508x = 310,815,770,623,225,888,768
  5. Step 5: Solve for x
    x = 310,815,770,623,225,888,768/8,138,777,508
  6. Step 6: Final answer
    x = 38,189,491,028.32

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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.