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Finding the Third Proportional to 5,503,257.70 and 11,672,456.91

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Solution

The third proportional to 5,503,257.70 and 11,672,456.91 is: 24,757,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503,257.70 : 11,672,456.91 = 11,672,456.91 : x
  2. Step 2: Convert to fraction form
    5,503,257.70/11,672,456.91 = 11,672,456.91/x
  3. Step 3: Cross multiply
    5,503,257.70x = 11,672,456.91 × 11,672,456.91
  4. Step 4: Simplify right side
    5,503,257.70x = 136,246,250,228,263.33
  5. Step 5: Solve for x
    x = 136,246,250,228,263.33/5,503,257.70
  6. Step 6: Final answer
    x = 24,757,381.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.