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Finding the Third Proportional to 538,387,448 and 1,171,253,294

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Solution

The third proportional to 538,387,448 and 1,171,253,294 is: 2,548,042,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,387,448 : 1,171,253,294 = 1,171,253,294 : x
  2. Step 2: Convert to fraction form
    538,387,448/1,171,253,294 = 1,171,253,294/x
  3. Step 3: Cross multiply
    538,387,448x = 1,171,253,294 × 1,171,253,294
  4. Step 4: Simplify right side
    538,387,448x = 1,371,834,278,705,850,368
  5. Step 5: Solve for x
    x = 1,371,834,278,705,850,368/538,387,448
  6. Step 6: Final answer
    x = 2,548,042,833.84

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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.