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Finding the Third Proportional to 267,543,187.13 and 587,699,023.13

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Solution

The third proportional to 267,543,187.13 and 587,699,023.13 is: 1,290,969,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543,187.13 : 587,699,023.13 = 587,699,023.13 : x
  2. Step 2: Convert to fraction form
    267,543,187.13/587,699,023.13 = 587,699,023.13/x
  3. Step 3: Cross multiply
    267,543,187.13x = 587,699,023.13 × 587,699,023.13
  4. Step 4: Simplify right side
    267,543,187.13x = 345,390,141,782,079,296
  5. Step 5: Solve for x
    x = 345,390,141,782,079,296/267,543,187.13
  6. Step 6: Final answer
    x = 1,290,969,676.69

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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.