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Finding the Third Proportional to 8,272,216 and 17,498,288

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Solution

The third proportional to 8,272,216 and 17,498,288 is: 37,014,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272,216 : 17,498,288 = 17,498,288 : x
  2. Step 2: Convert to fraction form
    8,272,216/17,498,288 = 17,498,288/x
  3. Step 3: Cross multiply
    8,272,216x = 17,498,288 × 17,498,288
  4. Step 4: Simplify right side
    8,272,216x = 306,190,082,930,944
  5. Step 5: Solve for x
    x = 306,190,082,930,944/8,272,216
  6. Step 6: Final answer
    x = 37,014,275.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.