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Finding the Third Proportional to 2,949,922.50 and 6,418,983

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Solution

The third proportional to 2,949,922.50 and 6,418,983 is: 13,967,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,922.50 : 6,418,983 = 6,418,983 : x
  2. Step 2: Convert to fraction form
    2,949,922.50/6,418,983 = 6,418,983/x
  3. Step 3: Cross multiply
    2,949,922.50x = 6,418,983 × 6,418,983
  4. Step 4: Simplify right side
    2,949,922.50x = 41,203,342,754,289
  5. Step 5: Solve for x
    x = 41,203,342,754,289/2,949,922.50
  6. Step 6: Final answer
    x = 13,967,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.