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Finding the Third Proportional to 2,214,224.25 and 4,768,041

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Solution

The third proportional to 2,214,224.25 and 4,768,041 is: 10,267,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,224.25 : 4,768,041 = 4,768,041 : x
  2. Step 2: Convert to fraction form
    2,214,224.25/4,768,041 = 4,768,041/x
  3. Step 3: Cross multiply
    2,214,224.25x = 4,768,041 × 4,768,041
  4. Step 4: Simplify right side
    2,214,224.25x = 22,734,214,977,681
  5. Step 5: Solve for x
    x = 22,734,214,977,681/2,214,224.25
  6. Step 6: Final answer
    x = 10,267,349.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.