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Finding the Third Proportional to 2,731,171.50 and 5,543,076.38

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Solution

The third proportional to 2,731,171.50 and 5,543,076.38 is: 11,250,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,171.50 : 5,543,076.38 = 5,543,076.38 : x
  2. Step 2: Convert to fraction form
    2,731,171.50/5,543,076.38 = 5,543,076.38/x
  3. Step 3: Cross multiply
    2,731,171.50x = 5,543,076.38 × 5,543,076.38
  4. Step 4: Simplify right side
    2,731,171.50x = 30,725,695,699,083.14
  5. Step 5: Solve for x
    x = 30,725,695,699,083.14/2,731,171.50
  6. Step 6: Final answer
    x = 11,250,005.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.