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Finding the Third Proportional to 635,189,513 and 1,375,902,891

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Solution

The third proportional to 635,189,513 and 1,375,902,891 is: 2,980,384,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,189,513 : 1,375,902,891 = 1,375,902,891 : x
  2. Step 2: Convert to fraction form
    635,189,513/1,375,902,891 = 1,375,902,891/x
  3. Step 3: Cross multiply
    635,189,513x = 1,375,902,891 × 1,375,902,891
  4. Step 4: Simplify right side
    635,189,513x = 1,893,108,765,462,157,824
  5. Step 5: Solve for x
    x = 1,893,108,765,462,157,824/635,189,513
  6. Step 6: Final answer
    x = 2,980,384,163.65

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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.