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Finding the Third Proportional to 37,431,427,154 and 83,231,987,175

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Solution

The third proportional to 37,431,427,154 and 83,231,987,175 is: 185,073,458,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431,427,154 : 83,231,987,175 = 83,231,987,175 : x
  2. Step 2: Convert to fraction form
    37,431,427,154/83,231,987,175 = 83,231,987,175/x
  3. Step 3: Cross multiply
    37,431,427,154x = 83,231,987,175 × 83,231,987,175
  4. Step 4: Simplify right side
    37,431,427,154x = 6,927,563,689,099,364,663,296
  5. Step 5: Solve for x
    x = 6,927,563,689,099,364,663,296/37,431,427,154
  6. Step 6: Final answer
    x = 185,073,458,743.59

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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.