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Finding the Third Proportional to 8,100,731 and 17,286,214

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Solution

The third proportional to 8,100,731 and 17,286,214 is: 36,887,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100,731 : 17,286,214 = 17,286,214 : x
  2. Step 2: Convert to fraction form
    8,100,731/17,286,214 = 17,286,214/x
  3. Step 3: Cross multiply
    8,100,731x = 17,286,214 × 17,286,214
  4. Step 4: Simplify right side
    8,100,731x = 298,813,194,453,796
  5. Step 5: Solve for x
    x = 298,813,194,453,796/8,100,731
  6. Step 6: Final answer
    x = 36,887,188.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.