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Finding the Third Proportional to 7,132,198 and 15,186,695

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Solution

The third proportional to 7,132,198 and 15,186,695 is: 32,337,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132,198 : 15,186,695 = 15,186,695 : x
  2. Step 2: Convert to fraction form
    7,132,198/15,186,695 = 15,186,695/x
  3. Step 3: Cross multiply
    7,132,198x = 15,186,695 × 15,186,695
  4. Step 4: Simplify right side
    7,132,198x = 230,635,705,023,025
  5. Step 5: Solve for x
    x = 230,635,705,023,025/7,132,198
  6. Step 6: Final answer
    x = 32,337,254.94

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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.