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Finding the Third Proportional to 3,782,110.50 and 5,677,035

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Solution

The third proportional to 3,782,110.50 and 5,677,035 is: 8,521,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,110.50 : 5,677,035 = 5,677,035 : x
  2. Step 2: Convert to fraction form
    3,782,110.50/5,677,035 = 5,677,035/x
  3. Step 3: Cross multiply
    3,782,110.50x = 5,677,035 × 5,677,035
  4. Step 4: Simplify right side
    3,782,110.50x = 32,228,726,391,225
  5. Step 5: Solve for x
    x = 32,228,726,391,225/3,782,110.50
  6. Step 6: Final answer
    x = 8,521,360.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.