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Finding the Third Proportional to 11,230,800 and 17,251,882.50

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Solution

The third proportional to 11,230,800 and 17,251,882.50 is: 26,501,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230,800 : 17,251,882.50 = 17,251,882.50 : x
  2. Step 2: Convert to fraction form
    11,230,800/17,251,882.50 = 17,251,882.50/x
  3. Step 3: Cross multiply
    11,230,800x = 17,251,882.50 × 17,251,882.50
  4. Step 4: Simplify right side
    11,230,800x = 297,627,449,793,806.25
  5. Step 5: Solve for x
    x = 297,627,449,793,806.25/11,230,800
  6. Step 6: Final answer
    x = 26,501,001.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.