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Finding the Third Proportional to 2,505,186.98 and 5,489,173.41

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Solution

The third proportional to 2,505,186.98 and 5,489,173.41 is: 12,027,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,186.98 : 5,489,173.41 = 5,489,173.41 : x
  2. Step 2: Convert to fraction form
    2,505,186.98/5,489,173.41 = 5,489,173.41/x
  3. Step 3: Cross multiply
    2,505,186.98x = 5,489,173.41 × 5,489,173.41
  4. Step 4: Simplify right side
    2,505,186.98x = 30,131,024,683,882.23
  5. Step 5: Solve for x
    x = 30,131,024,683,882.23/2,505,186.98
  6. Step 6: Final answer
    x = 12,027,455.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.