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Finding the Third Proportional to 9,476,832 and 14,557,452.75

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Solution

The third proportional to 9,476,832 and 14,557,452.75 is: 22,361,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,832 : 14,557,452.75 = 14,557,452.75 : x
  2. Step 2: Convert to fraction form
    9,476,832/14,557,452.75 = 14,557,452.75/x
  3. Step 3: Cross multiply
    9,476,832x = 14,557,452.75 × 14,557,452.75
  4. Step 4: Simplify right side
    9,476,832x = 211,919,430,568,482.56
  5. Step 5: Solve for x
    x = 211,919,430,568,482.56/9,476,832
  6. Step 6: Final answer
    x = 22,361,843.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.