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Finding the Third Proportional to 3,413,881.69 and 7,313,496.75

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Solution

The third proportional to 3,413,881.69 and 7,313,496.75 is: 15,667,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,881.69 : 7,313,496.75 = 7,313,496.75 : x
  2. Step 2: Convert to fraction form
    3,413,881.69/7,313,496.75 = 7,313,496.75/x
  3. Step 3: Cross multiply
    3,413,881.69x = 7,313,496.75 × 7,313,496.75
  4. Step 4: Simplify right side
    3,413,881.69x = 53,487,234,712,260.56
  5. Step 5: Solve for x
    x = 53,487,234,712,260.56/3,413,881.69
  6. Step 6: Final answer
    x = 15,667,571.29

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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.