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Finding the Third Proportional to 7,741,134 and 16,405,164

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Solution

The third proportional to 7,741,134 and 16,405,164 is: 34,766,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741,134 : 16,405,164 = 16,405,164 : x
  2. Step 2: Convert to fraction form
    7,741,134/16,405,164 = 16,405,164/x
  3. Step 3: Cross multiply
    7,741,134x = 16,405,164 × 16,405,164
  4. Step 4: Simplify right side
    7,741,134x = 269,129,405,866,896
  5. Step 5: Solve for x
    x = 269,129,405,866,896/7,741,134
  6. Step 6: Final answer
    x = 34,766,147.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.