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Finding the Third Proportional to 38,351,215 and 82,086,962

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Solution

The third proportional to 38,351,215 and 82,086,962 is: 175,698,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351,215 : 82,086,962 = 82,086,962 : x
  2. Step 2: Convert to fraction form
    38,351,215/82,086,962 = 82,086,962/x
  3. Step 3: Cross multiply
    38,351,215x = 82,086,962 × 82,086,962
  4. Step 4: Simplify right side
    38,351,215x = 6,738,269,330,389,444
  5. Step 5: Solve for x
    x = 6,738,269,330,389,444/38,351,215
  6. Step 6: Final answer
    x = 175,698,979.30

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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.