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Finding the Third Proportional to 383,942,628 and 618,274,134

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Solution

The third proportional to 383,942,628 and 618,274,134 is: 995,625,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,942,628 : 618,274,134 = 618,274,134 : x
  2. Step 2: Convert to fraction form
    383,942,628/618,274,134 = 618,274,134/x
  3. Step 3: Cross multiply
    383,942,628x = 618,274,134 × 618,274,134
  4. Step 4: Simplify right side
    383,942,628x = 382,262,904,773,449,984
  5. Step 5: Solve for x
    x = 382,262,904,773,449,984/383,942,628
  6. Step 6: Final answer
    x = 995,625,067.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.