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Finding the Third Proportional to 5,524,608 and 11,432,832

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Solution

The third proportional to 5,524,608 and 11,432,832 is: 23,659,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524,608 : 11,432,832 = 11,432,832 : x
  2. Step 2: Convert to fraction form
    5,524,608/11,432,832 = 11,432,832/x
  3. Step 3: Cross multiply
    5,524,608x = 11,432,832 × 11,432,832
  4. Step 4: Simplify right side
    5,524,608x = 130,709,647,540,224
  5. Step 5: Solve for x
    x = 130,709,647,540,224/5,524,608
  6. Step 6: Final answer
    x = 23,659,533.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.