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Finding the Third Proportional to 267,543,186 and 587,699,025

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Solution

The third proportional to 267,543,186 and 587,699,025 is: 1,290,969,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543,186 : 587,699,025 = 587,699,025 : x
  2. Step 2: Convert to fraction form
    267,543,186/587,699,025 = 587,699,025/x
  3. Step 3: Cross multiply
    267,543,186x = 587,699,025 × 587,699,025
  4. Step 4: Simplify right side
    267,543,186x = 345,390,143,985,950,656
  5. Step 5: Solve for x
    x = 345,390,143,985,950,656/267,543,186
  6. Step 6: Final answer
    x = 1,290,969,690.35

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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.