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Finding the Third Proportional to 3,932,784 and 8,412,074

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Solution

The third proportional to 3,932,784 and 8,412,074 is: 17,993,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,784 : 8,412,074 = 8,412,074 : x
  2. Step 2: Convert to fraction form
    3,932,784/8,412,074 = 8,412,074/x
  3. Step 3: Cross multiply
    3,932,784x = 8,412,074 × 8,412,074
  4. Step 4: Simplify right side
    3,932,784x = 70,762,988,981,476
  5. Step 5: Solve for x
    x = 70,762,988,981,476/3,932,784
  6. Step 6: Final answer
    x = 17,993,103.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.