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Finding the Third Proportional to 31,378,255.88 and 67,968,132.75

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Solution

The third proportional to 31,378,255.88 and 67,968,132.75 is: 147,225,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378,255.88 : 67,968,132.75 = 67,968,132.75 : x
  2. Step 2: Convert to fraction form
    31,378,255.88/67,968,132.75 = 67,968,132.75/x
  3. Step 3: Cross multiply
    31,378,255.88x = 67,968,132.75 × 67,968,132.75
  4. Step 4: Simplify right side
    31,378,255.88x = 4,619,667,069,521,623
  5. Step 5: Solve for x
    x = 4,619,667,069,521,623/31,378,255.88
  6. Step 6: Final answer
    x = 147,225,106.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.