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Finding the Third Proportional to 8,378,023,110 and 12,494,381,431

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Solution

The third proportional to 8,378,023,110 and 12,494,381,431 is: 18,633,222,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,023,110 : 12,494,381,431 = 12,494,381,431 : x
  2. Step 2: Convert to fraction form
    8,378,023,110/12,494,381,431 = 12,494,381,431/x
  3. Step 3: Cross multiply
    8,378,023,110x = 12,494,381,431 × 12,494,381,431
  4. Step 4: Simplify right side
    8,378,023,110x = 156,109,567,343,317,614,592
  5. Step 5: Solve for x
    x = 156,109,567,343,317,614,592/8,378,023,110
  6. Step 6: Final answer
    x = 18,633,222,335.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.