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Finding the Third Proportional to 539,857,519,096 and 1,160,961,738,272

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Solution

The third proportional to 539,857,519,096 and 1,160,961,738,272 is: 2,496,644,225,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,857,519,096 : 1,160,961,738,272 = 1,160,961,738,272 : x
  2. Step 2: Convert to fraction form
    539,857,519,096/1,160,961,738,272 = 1,160,961,738,272/x
  3. Step 3: Cross multiply
    539,857,519,096x = 1,160,961,738,272 × 1,160,961,738,272
  4. Step 4: Simplify right side
    539,857,519,096x = 1,347,832,157,731,543,951,867,904
  5. Step 5: Solve for x
    x = 1,347,832,157,731,543,951,867,904/539,857,519,096
  6. Step 6: Final answer
    x = 2,496,644,225,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.