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Finding the Third Proportional to 2,376,765 and 5,189,067.25

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Solution

The third proportional to 2,376,765 and 5,189,067.25 is: 11,329,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,765 : 5,189,067.25 = 5,189,067.25 : x
  2. Step 2: Convert to fraction form
    2,376,765/5,189,067.25 = 5,189,067.25/x
  3. Step 3: Cross multiply
    2,376,765x = 5,189,067.25 × 5,189,067.25
  4. Step 4: Simplify right side
    2,376,765x = 26,926,418,925,022.56
  5. Step 5: Solve for x
    x = 26,926,418,925,022.56/2,376,765
  6. Step 6: Final answer
    x = 11,329,020.30

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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.