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Finding the Third Proportional to 12,469,780.50 and 19,857,231

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Solution

The third proportional to 12,469,780.50 and 19,857,231 is: 31,621,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469,780.50 : 19,857,231 = 19,857,231 : x
  2. Step 2: Convert to fraction form
    12,469,780.50/19,857,231 = 19,857,231/x
  3. Step 3: Cross multiply
    12,469,780.50x = 19,857,231 × 19,857,231
  4. Step 4: Simplify right side
    12,469,780.50x = 394,309,622,987,361
  5. Step 5: Solve for x
    x = 394,309,622,987,361/12,469,780.50
  6. Step 6: Final answer
    x = 31,621,216.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.