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Finding the Third Proportional to 339,115,743 and 734,582,022.75

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Solution

The third proportional to 339,115,743 and 734,582,022.75 is: 1,591,228,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,115,743 : 734,582,022.75 = 734,582,022.75 : x
  2. Step 2: Convert to fraction form
    339,115,743/734,582,022.75 = 734,582,022.75/x
  3. Step 3: Cross multiply
    339,115,743x = 734,582,022.75 × 734,582,022.75
  4. Step 4: Simplify right side
    339,115,743x = 539,610,748,147,481,536
  5. Step 5: Solve for x
    x = 539,610,748,147,481,536/339,115,743
  6. Step 6: Final answer
    x = 1,591,228,833.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.