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Finding the Third Proportional to 12,469,803.19 and 19,857,246.19

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Solution

The third proportional to 12,469,803.19 and 19,857,246.19 is: 31,621,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469,803.19 : 19,857,246.19 = 19,857,246.19 : x
  2. Step 2: Convert to fraction form
    12,469,803.19/19,857,246.19 = 19,857,246.19/x
  3. Step 3: Cross multiply
    12,469,803.19x = 19,857,246.19 × 19,857,246.19
  4. Step 4: Simplify right side
    12,469,803.19x = 394,310,226,150,983.31
  5. Step 5: Solve for x
    x = 394,310,226,150,983.31/12,469,803.19
  6. Step 6: Final answer
    x = 31,621,206.86

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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.