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Finding the Third Proportional to 38,351,212.75 and 82,086,958

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Solution

The third proportional to 38,351,212.75 and 82,086,958 is: 175,698,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351,212.75 : 82,086,958 = 82,086,958 : x
  2. Step 2: Convert to fraction form
    38,351,212.75/82,086,958 = 82,086,958/x
  3. Step 3: Cross multiply
    38,351,212.75x = 82,086,958 × 82,086,958
  4. Step 4: Simplify right side
    38,351,212.75x = 6,738,268,673,693,764
  5. Step 5: Solve for x
    x = 6,738,268,673,693,764/38,351,212.75
  6. Step 6: Final answer
    x = 175,698,972.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.