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Finding the Third Proportional to 2,351,772 and 5,151,963

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Solution

The third proportional to 2,351,772 and 5,151,963 is: 11,286,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,772 : 5,151,963 = 5,151,963 : x
  2. Step 2: Convert to fraction form
    2,351,772/5,151,963 = 5,151,963/x
  3. Step 3: Cross multiply
    2,351,772x = 5,151,963 × 5,151,963
  4. Step 4: Simplify right side
    2,351,772x = 26,542,722,753,369
  5. Step 5: Solve for x
    x = 26,542,722,753,369/2,351,772
  6. Step 6: Final answer
    x = 11,286,265.32

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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.