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Finding the Third Proportional to 38,517,949 and 78,381,106

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Solution

The third proportional to 38,517,949 and 78,381,106 is: 159,499,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517,949 : 78,381,106 = 78,381,106 : x
  2. Step 2: Convert to fraction form
    38,517,949/78,381,106 = 78,381,106/x
  3. Step 3: Cross multiply
    38,517,949x = 78,381,106 × 78,381,106
  4. Step 4: Simplify right side
    38,517,949x = 6,143,597,777,783,236
  5. Step 5: Solve for x
    x = 6,143,597,777,783,236/38,517,949
  6. Step 6: Final answer
    x = 159,499,608.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.