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Finding the Third Proportional to 6,741,187 and 9,538,576

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Solution

The third proportional to 6,741,187 and 9,538,576 is: 13,496,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,187 : 9,538,576 = 9,538,576 : x
  2. Step 2: Convert to fraction form
    6,741,187/9,538,576 = 9,538,576/x
  3. Step 3: Cross multiply
    6,741,187x = 9,538,576 × 9,538,576
  4. Step 4: Simplify right side
    6,741,187x = 90,984,432,107,776
  5. Step 5: Solve for x
    x = 90,984,432,107,776/6,741,187
  6. Step 6: Final answer
    x = 13,496,796.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.