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Finding the Third Proportional to 5,262,832 and 11,337,744

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Solution

The third proportional to 5,262,832 and 11,337,744 is: 24,424,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,832 : 11,337,744 = 11,337,744 : x
  2. Step 2: Convert to fraction form
    5,262,832/11,337,744 = 11,337,744/x
  3. Step 3: Cross multiply
    5,262,832x = 11,337,744 × 11,337,744
  4. Step 4: Simplify right side
    5,262,832x = 128,544,439,009,536
  5. Step 5: Solve for x
    x = 128,544,439,009,536/5,262,832
  6. Step 6: Final answer
    x = 24,424,955.81

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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.