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Finding the Third Proportional to 8,777,223.75 and 11,649,606.75

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Solution

The third proportional to 8,777,223.75 and 11,649,606.75 is: 15,461,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777,223.75 : 11,649,606.75 = 11,649,606.75 : x
  2. Step 2: Convert to fraction form
    8,777,223.75/11,649,606.75 = 11,649,606.75/x
  3. Step 3: Cross multiply
    8,777,223.75x = 11,649,606.75 × 11,649,606.75
  4. Step 4: Simplify right side
    8,777,223.75x = 135,713,337,429,645.56
  5. Step 5: Solve for x
    x = 135,713,337,429,645.56/8,777,223.75
  6. Step 6: Final answer
    x = 15,461,989.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.