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Finding the Third Proportional to 8,148,784 and 17,269,110

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Solution

The third proportional to 8,148,784 and 17,269,110 is: 36,597,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,784 : 17,269,110 = 17,269,110 : x
  2. Step 2: Convert to fraction form
    8,148,784/17,269,110 = 17,269,110/x
  3. Step 3: Cross multiply
    8,148,784x = 17,269,110 × 17,269,110
  4. Step 4: Simplify right side
    8,148,784x = 298,222,160,192,100
  5. Step 5: Solve for x
    x = 298,222,160,192,100/8,148,784
  6. Step 6: Final answer
    x = 36,597,136.48

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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.