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Finding the Third Proportional to 5,435,046.50 and 11,846,711

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Solution

The third proportional to 5,435,046.50 and 11,846,711 is: 25,822,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435,046.50 : 11,846,711 = 11,846,711 : x
  2. Step 2: Convert to fraction form
    5,435,046.50/11,846,711 = 11,846,711/x
  3. Step 3: Cross multiply
    5,435,046.50x = 11,846,711 × 11,846,711
  4. Step 4: Simplify right side
    5,435,046.50x = 140,344,561,517,521
  5. Step 5: Solve for x
    x = 140,344,561,517,521/5,435,046.50
  6. Step 6: Final answer
    x = 25,822,145.50

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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.