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Finding the Third Proportional to 8,328,183.75 and 11,345,737.50

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Solution

The third proportional to 8,328,183.75 and 11,345,737.50 is: 15,456,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328,183.75 : 11,345,737.50 = 11,345,737.50 : x
  2. Step 2: Convert to fraction form
    8,328,183.75/11,345,737.50 = 11,345,737.50/x
  3. Step 3: Cross multiply
    8,328,183.75x = 11,345,737.50 × 11,345,737.50
  4. Step 4: Simplify right side
    8,328,183.75x = 128,725,759,418,906.25
  5. Step 5: Solve for x
    x = 128,725,759,418,906.25/8,328,183.75
  6. Step 6: Final answer
    x = 15,456,642.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.