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Finding the Third Proportional to 635,189,511 and 1,375,902,888

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Solution

The third proportional to 635,189,511 and 1,375,902,888 is: 2,980,384,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,189,511 : 1,375,902,888 = 1,375,902,888 : x
  2. Step 2: Convert to fraction form
    635,189,511/1,375,902,888 = 1,375,902,888/x
  3. Step 3: Cross multiply
    635,189,511x = 1,375,902,888 × 1,375,902,888
  4. Step 4: Simplify right side
    635,189,511x = 1,893,108,757,206,740,480
  5. Step 5: Solve for x
    x = 1,893,108,757,206,740,480/635,189,511
  6. Step 6: Final answer
    x = 2,980,384,160.04

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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.