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Finding the Third Proportional to 6,126,722 and 13,198,728

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Solution

The third proportional to 6,126,722 and 13,198,728 is: 28,433,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126,722 : 13,198,728 = 13,198,728 : x
  2. Step 2: Convert to fraction form
    6,126,722/13,198,728 = 13,198,728/x
  3. Step 3: Cross multiply
    6,126,722x = 13,198,728 × 13,198,728
  4. Step 4: Simplify right side
    6,126,722x = 174,206,420,817,984
  5. Step 5: Solve for x
    x = 174,206,420,817,984/6,126,722
  6. Step 6: Final answer
    x = 28,433,870.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.