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Finding the Third Proportional to 8,149,256 and 17,270,046

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Solution

The third proportional to 8,149,256 and 17,270,046 is: 36,598,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149,256 : 17,270,046 = 17,270,046 : x
  2. Step 2: Convert to fraction form
    8,149,256/17,270,046 = 17,270,046/x
  3. Step 3: Cross multiply
    8,149,256x = 17,270,046 × 17,270,046
  4. Step 4: Simplify right side
    8,149,256x = 298,254,488,842,116
  5. Step 5: Solve for x
    x = 298,254,488,842,116/8,149,256
  6. Step 6: Final answer
    x = 36,598,983.86

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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.