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Finding the Third Proportional to 37,431,427,158 and 83,231,987,211

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Solution

The third proportional to 37,431,427,158 and 83,231,987,211 is: 185,073,458,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431,427,158 : 83,231,987,211 = 83,231,987,211 : x
  2. Step 2: Convert to fraction form
    37,431,427,158/83,231,987,211 = 83,231,987,211/x
  3. Step 3: Cross multiply
    37,431,427,158x = 83,231,987,211 × 83,231,987,211
  4. Step 4: Simplify right side
    37,431,427,158x = 6,927,563,695,092,067,729,408
  5. Step 5: Solve for x
    x = 6,927,563,695,092,067,729,408/37,431,427,158
  6. Step 6: Final answer
    x = 185,073,458,883.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.