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Finding the Third Proportional to 39,834,102 and 81,129,948

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Solution

The third proportional to 39,834,102 and 81,129,948 is: 165,237,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834,102 : 81,129,948 = 81,129,948 : x
  2. Step 2: Convert to fraction form
    39,834,102/81,129,948 = 81,129,948/x
  3. Step 3: Cross multiply
    39,834,102x = 81,129,948 × 81,129,948
  4. Step 4: Simplify right side
    39,834,102x = 6,582,068,462,482,704
  5. Step 5: Solve for x
    x = 6,582,068,462,482,704/39,834,102
  6. Step 6: Final answer
    x = 165,237,023.86

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.