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Finding the Third Proportional to 38,351,901 and 82,395,834

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Solution

The third proportional to 38,351,901 and 82,395,834 is: 177,020,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351,901 : 82,395,834 = 82,395,834 : x
  2. Step 2: Convert to fraction form
    38,351,901/82,395,834 = 82,395,834/x
  3. Step 3: Cross multiply
    38,351,901x = 82,395,834 × 82,395,834
  4. Step 4: Simplify right side
    38,351,901x = 6,789,073,460,555,556
  5. Step 5: Solve for x
    x = 6,789,073,460,555,556/38,351,901
  6. Step 6: Final answer
    x = 177,020,520.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.