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Finding the Third Proportional to 3,667,351.50 and 7,965,175.50

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Solution

The third proportional to 3,667,351.50 and 7,965,175.50 is: 17,299,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667,351.50 : 7,965,175.50 = 7,965,175.50 : x
  2. Step 2: Convert to fraction form
    3,667,351.50/7,965,175.50 = 7,965,175.50/x
  3. Step 3: Cross multiply
    3,667,351.50x = 7,965,175.50 × 7,965,175.50
  4. Step 4: Simplify right side
    3,667,351.50x = 63,444,020,745,800.25
  5. Step 5: Solve for x
    x = 63,444,020,745,800.25/3,667,351.50
  6. Step 6: Final answer
    x = 17,299,683.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.