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Finding the Third Proportional to 8,149,254 and 17,270,042

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Solution

The third proportional to 8,149,254 and 17,270,042 is: 36,598,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149,254 : 17,270,042 = 17,270,042 : x
  2. Step 2: Convert to fraction form
    8,149,254/17,270,042 = 17,270,042/x
  3. Step 3: Cross multiply
    8,149,254x = 17,270,042 × 17,270,042
  4. Step 4: Simplify right side
    8,149,254x = 298,254,350,681,764
  5. Step 5: Solve for x
    x = 298,254,350,681,764/8,149,254
  6. Step 6: Final answer
    x = 36,598,975.89

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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.