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Finding the Third Proportional to 8,198,514 and 11,678,958

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Solution

The third proportional to 8,198,514 and 11,678,958 is: 16,636,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,514 : 11,678,958 = 11,678,958 : x
  2. Step 2: Convert to fraction form
    8,198,514/11,678,958 = 11,678,958/x
  3. Step 3: Cross multiply
    8,198,514x = 11,678,958 × 11,678,958
  4. Step 4: Simplify right side
    8,198,514x = 136,398,059,965,764
  5. Step 5: Solve for x
    x = 136,398,059,965,764/8,198,514
  6. Step 6: Final answer
    x = 16,636,924.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.