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Finding the Third Proportional to 6,861,608 and 14,667,520

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Solution

The third proportional to 6,861,608 and 14,667,520 is: 31,353,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861,608 : 14,667,520 = 14,667,520 : x
  2. Step 2: Convert to fraction form
    6,861,608/14,667,520 = 14,667,520/x
  3. Step 3: Cross multiply
    6,861,608x = 14,667,520 × 14,667,520
  4. Step 4: Simplify right side
    6,861,608x = 215,136,142,950,400
  5. Step 5: Solve for x
    x = 215,136,142,950,400/6,861,608
  6. Step 6: Final answer
    x = 31,353,604.42

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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.