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Finding the Third Proportional to 2,338,277.63 and 5,024,652.75

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Solution

The third proportional to 2,338,277.63 and 5,024,652.75 is: 10,797,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,277.63 : 5,024,652.75 = 5,024,652.75 : x
  2. Step 2: Convert to fraction form
    2,338,277.63/5,024,652.75 = 5,024,652.75/x
  3. Step 3: Cross multiply
    2,338,277.63x = 5,024,652.75 × 5,024,652.75
  4. Step 4: Simplify right side
    2,338,277.63x = 25,247,135,258,082.56
  5. Step 5: Solve for x
    x = 25,247,135,258,082.56/2,338,277.63
  6. Step 6: Final answer
    x = 10,797,321.49

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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.