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Finding the Third Proportional to 267,543,180 and 587,699,013

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Solution

The third proportional to 267,543,180 and 587,699,013 is: 1,290,969,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543,180 : 587,699,013 = 587,699,013 : x
  2. Step 2: Convert to fraction form
    267,543,180/587,699,013 = 587,699,013/x
  3. Step 3: Cross multiply
    267,543,180x = 587,699,013 × 587,699,013
  4. Step 4: Simplify right side
    267,543,180x = 345,390,129,881,174,144
  5. Step 5: Solve for x
    x = 345,390,129,881,174,144/267,543,180
  6. Step 6: Final answer
    x = 1,290,969,666.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.