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Finding the Third Proportional to 1,918,456,596 and 4,198,543,227

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Solution

The third proportional to 1,918,456,596 and 4,198,543,227 is: 9,188,513,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,456,596 : 4,198,543,227 = 4,198,543,227 : x
  2. Step 2: Convert to fraction form
    1,918,456,596/4,198,543,227 = 4,198,543,227/x
  3. Step 3: Cross multiply
    1,918,456,596x = 4,198,543,227 × 4,198,543,227
  4. Step 4: Simplify right side
    1,918,456,596x = 17,627,765,228,987,574,272
  5. Step 5: Solve for x
    x = 17,627,765,228,987,574,272/1,918,456,596
  6. Step 6: Final answer
    x = 9,188,513,967.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.