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Finding the Third Proportional to 8,216,105 and 17,731,285

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Solution

The third proportional to 8,216,105 and 17,731,285 is: 38,266,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,105 : 17,731,285 = 17,731,285 : x
  2. Step 2: Convert to fraction form
    8,216,105/17,731,285 = 17,731,285/x
  3. Step 3: Cross multiply
    8,216,105x = 17,731,285 × 17,731,285
  4. Step 4: Simplify right side
    8,216,105x = 314,398,467,751,225
  5. Step 5: Solve for x
    x = 314,398,467,751,225/8,216,105
  6. Step 6: Final answer
    x = 38,266,120.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.