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Finding the Third Proportional to 6,554,734 and 9,923,193

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Solution

The third proportional to 6,554,734 and 9,923,193 is: 15,022,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554,734 : 9,923,193 = 9,923,193 : x
  2. Step 2: Convert to fraction form
    6,554,734/9,923,193 = 9,923,193/x
  3. Step 3: Cross multiply
    6,554,734x = 9,923,193 × 9,923,193
  4. Step 4: Simplify right side
    6,554,734x = 98,469,759,315,249
  5. Step 5: Solve for x
    x = 98,469,759,315,249/6,554,734
  6. Step 6: Final answer
    x = 15,022,693.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.