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Finding the Third Proportional to 8,614,850.50 and 13,337,677.50

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Solution

The third proportional to 8,614,850.50 and 13,337,677.50 is: 20,649,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614,850.50 : 13,337,677.50 = 13,337,677.50 : x
  2. Step 2: Convert to fraction form
    8,614,850.50/13,337,677.50 = 13,337,677.50/x
  3. Step 3: Cross multiply
    8,614,850.50x = 13,337,677.50 × 13,337,677.50
  4. Step 4: Simplify right side
    8,614,850.50x = 177,893,641,094,006.25
  5. Step 5: Solve for x
    x = 177,893,641,094,006.25/8,614,850.50
  6. Step 6: Final answer
    x = 20,649,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.