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Finding the Third Proportional to 6,861,600 and 14,667,504

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Solution

The third proportional to 6,861,600 and 14,667,504 is: 31,353,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861,600 : 14,667,504 = 14,667,504 : x
  2. Step 2: Convert to fraction form
    6,861,600/14,667,504 = 14,667,504/x
  3. Step 3: Cross multiply
    6,861,600x = 14,667,504 × 14,667,504
  4. Step 4: Simplify right side
    6,861,600x = 215,135,673,590,016
  5. Step 5: Solve for x
    x = 215,135,673,590,016/6,861,600
  6. Step 6: Final answer
    x = 31,353,572.58

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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.