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Finding the Third Proportional to 267,543,154 and 587,698,967

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Solution

The third proportional to 267,543,154 and 587,698,967 is: 1,290,969,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,543,154 : 587,698,967 = 587,698,967 : x
  2. Step 2: Convert to fraction form
    267,543,154/587,698,967 = 587,698,967/x
  3. Step 3: Cross multiply
    267,543,154x = 587,698,967 × 587,698,967
  4. Step 4: Simplify right side
    267,543,154x = 345,390,075,812,867,072
  5. Step 5: Solve for x
    x = 345,390,075,812,867,072/267,543,154
  6. Step 6: Final answer
    x = 1,290,969,589.95

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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.