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Finding the Third Proportional to 48,191,002 and 73,416,425

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Solution

The third proportional to 48,191,002 and 73,416,425 is: 111,846,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,191,002 : 73,416,425 = 73,416,425 : x
  2. Step 2: Convert to fraction form
    48,191,002/73,416,425 = 73,416,425/x
  3. Step 3: Cross multiply
    48,191,002x = 73,416,425 × 73,416,425
  4. Step 4: Simplify right side
    48,191,002x = 5,389,971,459,780,625
  5. Step 5: Solve for x
    x = 5,389,971,459,780,625/48,191,002
  6. Step 6: Final answer
    x = 111,846,013.49

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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.