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Finding the Third Proportional to 2,477,049.75 and 5,456,940.75

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Solution

The third proportional to 2,477,049.75 and 5,456,940.75 is: 12,021,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,049.75 : 5,456,940.75 = 5,456,940.75 : x
  2. Step 2: Convert to fraction form
    2,477,049.75/5,456,940.75 = 5,456,940.75/x
  3. Step 3: Cross multiply
    2,477,049.75x = 5,456,940.75 × 5,456,940.75
  4. Step 4: Simplify right side
    2,477,049.75x = 29,778,202,349,010.56
  5. Step 5: Solve for x
    x = 29,778,202,349,010.56/2,477,049.75
  6. Step 6: Final answer
    x = 12,021,640.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.