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Finding the Third Proportional to 31,199,244.75 and 69,568,020

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Solution

The third proportional to 31,199,244.75 and 69,568,020 is: 155,122,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,199,244.75 : 69,568,020 = 69,568,020 : x
  2. Step 2: Convert to fraction form
    31,199,244.75/69,568,020 = 69,568,020/x
  3. Step 3: Cross multiply
    31,199,244.75x = 69,568,020 × 69,568,020
  4. Step 4: Simplify right side
    31,199,244.75x = 4,839,709,406,720,400
  5. Step 5: Solve for x
    x = 4,839,709,406,720,400/31,199,244.75
  6. Step 6: Final answer
    x = 155,122,646.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.