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Finding the Third Proportional to 267,053,491 and 569,381,102

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Solution

The third proportional to 267,053,491 and 569,381,102 is: 1,213,969,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,053,491 : 569,381,102 = 569,381,102 : x
  2. Step 2: Convert to fraction form
    267,053,491/569,381,102 = 569,381,102/x
  3. Step 3: Cross multiply
    267,053,491x = 569,381,102 × 569,381,102
  4. Step 4: Simplify right side
    267,053,491x = 324,194,839,314,734,400
  5. Step 5: Solve for x
    x = 324,194,839,314,734,400/267,053,491
  6. Step 6: Final answer
    x = 1,213,969,673.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.