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Finding the Third Proportional to 17,729,876 and 38,822,728

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Solution

The third proportional to 17,729,876 and 38,822,728 is: 85,009,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729,876 : 38,822,728 = 38,822,728 : x
  2. Step 2: Convert to fraction form
    17,729,876/38,822,728 = 38,822,728/x
  3. Step 3: Cross multiply
    17,729,876x = 38,822,728 × 38,822,728
  4. Step 4: Simplify right side
    17,729,876x = 1,507,204,209,361,984
  5. Step 5: Solve for x
    x = 1,507,204,209,361,984/17,729,876
  6. Step 6: Final answer
    x = 85,009,292.19

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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.