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Finding the Third Proportional to 8,199,609.75 and 11,656,846.69

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Solution

The third proportional to 8,199,609.75 and 11,656,846.69 is: 16,571,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,609.75 : 11,656,846.69 = 11,656,846.69 : x
  2. Step 2: Convert to fraction form
    8,199,609.75/11,656,846.69 = 11,656,846.69/x
  3. Step 3: Cross multiply
    8,199,609.75x = 11,656,846.69 × 11,656,846.69
  4. Step 4: Simplify right side
    8,199,609.75x = 135,882,074,695,879.72
  5. Step 5: Solve for x
    x = 135,882,074,695,879.72/8,199,609.75
  6. Step 6: Final answer
    x = 16,571,773.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.