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Finding the Third Proportional to 8,162,251 and 17,794,165

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Solution

The third proportional to 8,162,251 and 17,794,165 is: 38,792,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162,251 : 17,794,165 = 17,794,165 : x
  2. Step 2: Convert to fraction form
    8,162,251/17,794,165 = 17,794,165/x
  3. Step 3: Cross multiply
    8,162,251x = 17,794,165 × 17,794,165
  4. Step 4: Simplify right side
    8,162,251x = 316,632,308,047,225
  5. Step 5: Solve for x
    x = 316,632,308,047,225/8,162,251
  6. Step 6: Final answer
    x = 38,792,277.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.