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Finding the Third Proportional to 8,179,102.50 and 17,204,332.50

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Solution

The third proportional to 8,179,102.50 and 17,204,332.50 is: 36,188,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179,102.50 : 17,204,332.50 = 17,204,332.50 : x
  2. Step 2: Convert to fraction form
    8,179,102.50/17,204,332.50 = 17,204,332.50/x
  3. Step 3: Cross multiply
    8,179,102.50x = 17,204,332.50 × 17,204,332.50
  4. Step 4: Simplify right side
    8,179,102.50x = 295,989,056,770,556.25
  5. Step 5: Solve for x
    x = 295,989,056,770,556.25/8,179,102.50
  6. Step 6: Final answer
    x = 36,188,451.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.