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Finding the Third Proportional to 12,357,780.19 and 26,912,493

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Solution

The third proportional to 12,357,780.19 and 26,912,493 is: 58,609,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,780.19 : 26,912,493 = 26,912,493 : x
  2. Step 2: Convert to fraction form
    12,357,780.19/26,912,493 = 26,912,493/x
  3. Step 3: Cross multiply
    12,357,780.19x = 26,912,493 × 26,912,493
  4. Step 4: Simplify right side
    12,357,780.19x = 724,282,279,475,049
  5. Step 5: Solve for x
    x = 724,282,279,475,049/12,357,780.19
  6. Step 6: Final answer
    x = 58,609,415.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.