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Finding the Third Proportional to 538,387,456 and 1,171,253,310

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Solution

The third proportional to 538,387,456 and 1,171,253,310 is: 2,548,042,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,387,456 : 1,171,253,310 = 1,171,253,310 : x
  2. Step 2: Convert to fraction form
    538,387,456/1,171,253,310 = 1,171,253,310/x
  3. Step 3: Cross multiply
    538,387,456x = 1,171,253,310 × 1,171,253,310
  4. Step 4: Simplify right side
    538,387,456x = 1,371,834,316,185,956,096
  5. Step 5: Solve for x
    x = 1,371,834,316,185,956,096/538,387,456
  6. Step 6: Final answer
    x = 2,548,042,865.59

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