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Finding the Third Proportional to 8,309,524 and 12,431,068

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Solution

The third proportional to 8,309,524 and 12,431,068 is: 18,596,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,524 : 12,431,068 = 12,431,068 : x
  2. Step 2: Convert to fraction form
    8,309,524/12,431,068 = 12,431,068/x
  3. Step 3: Cross multiply
    8,309,524x = 12,431,068 × 12,431,068
  4. Step 4: Simplify right side
    8,309,524x = 154,531,451,620,624
  5. Step 5: Solve for x
    x = 154,531,451,620,624/8,309,524
  6. Step 6: Final answer
    x = 18,596,907.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.