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Finding the Third Proportional to 3,131,266.13 and 4,848,410.44

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Solution

The third proportional to 3,131,266.13 and 4,848,410.44 is: 7,507,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131,266.13 : 4,848,410.44 = 4,848,410.44 : x
  2. Step 2: Convert to fraction form
    3,131,266.13/4,848,410.44 = 4,848,410.44/x
  3. Step 3: Cross multiply
    3,131,266.13x = 4,848,410.44 × 4,848,410.44
  4. Step 4: Simplify right side
    3,131,266.13x = 23,507,083,770,458.94
  5. Step 5: Solve for x
    x = 23,507,083,770,458.94/3,131,266.13
  6. Step 6: Final answer
    x = 7,507,213.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.