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Finding the Third Proportional to 24,040,014 and 48,928,906.50

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Solution

The third proportional to 24,040,014 and 48,928,906.50 is: 99,585,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,040,014 : 48,928,906.50 = 48,928,906.50 : x
  2. Step 2: Convert to fraction form
    24,040,014/48,928,906.50 = 48,928,906.50/x
  3. Step 3: Cross multiply
    24,040,014x = 48,928,906.50 × 48,928,906.50
  4. Step 4: Simplify right side
    24,040,014x = 2,394,037,891,285,742
  5. Step 5: Solve for x
    x = 2,394,037,891,285,742/24,040,014
  6. Step 6: Final answer
    x = 99,585,544.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.