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Finding the Third Proportional to 538,387,452 and 1,171,253,302

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Solution

The third proportional to 538,387,452 and 1,171,253,302 is: 2,548,042,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,387,452 : 1,171,253,302 = 1,171,253,302 : x
  2. Step 2: Convert to fraction form
    538,387,452/1,171,253,302 = 1,171,253,302/x
  3. Step 3: Cross multiply
    538,387,452x = 1,171,253,302 × 1,171,253,302
  4. Step 4: Simplify right side
    538,387,452x = 1,371,834,297,445,903,104
  5. Step 5: Solve for x
    x = 1,371,834,297,445,903,104/538,387,452
  6. Step 6: Final answer
    x = 2,548,042,849.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.