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Finding the Third Proportional to 6,741,176 and 9,538,556

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Solution

The third proportional to 6,741,176 and 9,538,556 is: 13,496,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,176 : 9,538,556 = 9,538,556 : x
  2. Step 2: Convert to fraction form
    6,741,176/9,538,556 = 9,538,556/x
  3. Step 3: Cross multiply
    6,741,176x = 9,538,556 × 9,538,556
  4. Step 4: Simplify right side
    6,741,176x = 90,984,050,565,136
  5. Step 5: Solve for x
    x = 90,984,050,565,136/6,741,176
  6. Step 6: Final answer
    x = 13,496,762.37

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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.