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Finding the Third Proportional to 3,538,005.75 and 5,301,480.38

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Solution

The third proportional to 3,538,005.75 and 5,301,480.38 is: 7,943,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538,005.75 : 5,301,480.38 = 5,301,480.38 : x
  2. Step 2: Convert to fraction form
    3,538,005.75/5,301,480.38 = 5,301,480.38/x
  3. Step 3: Cross multiply
    3,538,005.75x = 5,301,480.38 × 5,301,480.38
  4. Step 4: Simplify right side
    3,538,005.75x = 28,105,694,166,510.14
  5. Step 5: Solve for x
    x = 28,105,694,166,510.14/3,538,005.75
  6. Step 6: Final answer
    x = 7,943,936.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.