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Finding the Third Proportional to 48,190,992 and 73,416,414

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Solution

The third proportional to 48,190,992 and 73,416,414 is: 111,846,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190,992 : 73,416,414 = 73,416,414 : x
  2. Step 2: Convert to fraction form
    48,190,992/73,416,414 = 73,416,414/x
  3. Step 3: Cross multiply
    48,190,992x = 73,416,414 × 73,416,414
  4. Step 4: Simplify right side
    48,190,992x = 5,389,969,844,619,396
  5. Step 5: Solve for x
    x = 5,389,969,844,619,396/48,190,992
  6. Step 6: Final answer
    x = 111,846,003.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.