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Finding the Third Proportional to 2,570,245.50 and 5,644,976

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Solution

The third proportional to 2,570,245.50 and 5,644,976 is: 12,397,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,245.50 : 5,644,976 = 5,644,976 : x
  2. Step 2: Convert to fraction form
    2,570,245.50/5,644,976 = 5,644,976/x
  3. Step 3: Cross multiply
    2,570,245.50x = 5,644,976 × 5,644,976
  4. Step 4: Simplify right side
    2,570,245.50x = 31,865,754,040,576
  5. Step 5: Solve for x
    x = 31,865,754,040,576/2,570,245.50
  6. Step 6: Final answer
    x = 12,397,941.77

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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.