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Finding the Third Proportional to 31,255,476.75 and 34,992,168.75

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Solution

The third proportional to 31,255,476.75 and 34,992,168.75 is: 39,175,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255,476.75 : 34,992,168.75 = 34,992,168.75 : x
  2. Step 2: Convert to fraction form
    31,255,476.75/34,992,168.75 = 34,992,168.75/x
  3. Step 3: Cross multiply
    31,255,476.75x = 34,992,168.75 × 34,992,168.75
  4. Step 4: Simplify right side
    31,255,476.75x = 1,224,451,873,828,476.50
  5. Step 5: Solve for x
    x = 1,224,451,873,828,476.50/31,255,476.75
  6. Step 6: Final answer
    x = 39,175,594.20

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.