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Finding the Third Proportional to 6,728,836 and 9,672,198

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Solution

The third proportional to 6,728,836 and 9,672,198 is: 13,903,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728,836 : 9,672,198 = 9,672,198 : x
  2. Step 2: Convert to fraction form
    6,728,836/9,672,198 = 9,672,198/x
  3. Step 3: Cross multiply
    6,728,836x = 9,672,198 × 9,672,198
  4. Step 4: Simplify right side
    6,728,836x = 93,551,414,151,204
  5. Step 5: Solve for x
    x = 93,551,414,151,204/6,728,836
  6. Step 6: Final answer
    x = 13,903,060.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.