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Finding the Third Proportional to 31,255,453.13 and 34,992,145.13

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Solution

The third proportional to 31,255,453.13 and 34,992,145.13 is: 39,175,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255,453.13 : 34,992,145.13 = 34,992,145.13 : x
  2. Step 2: Convert to fraction form
    31,255,453.13/34,992,145.13 = 34,992,145.13/x
  3. Step 3: Cross multiply
    31,255,453.13x = 34,992,145.13 × 34,992,145.13
  4. Step 4: Simplify right side
    31,255,453.13x = 1,224,450,220,449,061.25
  5. Step 5: Solve for x
    x = 1,224,450,220,449,061.25/31,255,453.13
  6. Step 6: Final answer
    x = 39,175,570.92

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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.