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Finding the Third Proportional to 2,356,481.11 and 5,507,002.69

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Solution

The third proportional to 2,356,481.11 and 5,507,002.69 is: 12,869,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,481.11 : 5,507,002.69 = 5,507,002.69 : x
  2. Step 2: Convert to fraction form
    2,356,481.11/5,507,002.69 = 5,507,002.69/x
  3. Step 3: Cross multiply
    2,356,481.11x = 5,507,002.69 × 5,507,002.69
  4. Step 4: Simplify right side
    2,356,481.11x = 30,327,078,600,132.22
  5. Step 5: Solve for x
    x = 30,327,078,600,132.22/2,356,481.11
  6. Step 6: Final answer
    x = 12,869,646.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.