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Finding the Third Proportional to 37,431,427,160 and 83,231,987,215

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Solution

The third proportional to 37,431,427,160 and 83,231,987,215 is: 185,073,458,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431,427,160 : 83,231,987,215 = 83,231,987,215 : x
  2. Step 2: Convert to fraction form
    37,431,427,160/83,231,987,215 = 83,231,987,215/x
  3. Step 3: Cross multiply
    37,431,427,160x = 83,231,987,215 × 83,231,987,215
  4. Step 4: Simplify right side
    37,431,427,160x = 6,927,563,695,757,923,975,168
  5. Step 5: Solve for x
    x = 6,927,563,695,757,923,975,168/37,431,427,160
  6. Step 6: Final answer
    x = 185,073,458,891.81

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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.