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Finding the Third Proportional to 427,177,824 and 641,904,162

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Solution

The third proportional to 427,177,824 and 641,904,162 is: 964,565,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,177,824 : 641,904,162 = 641,904,162 : x
  2. Step 2: Convert to fraction form
    427,177,824/641,904,162 = 641,904,162/x
  3. Step 3: Cross multiply
    427,177,824x = 641,904,162 × 641,904,162
  4. Step 4: Simplify right side
    427,177,824x = 412,040,953,192,922,240
  5. Step 5: Solve for x
    x = 412,040,953,192,922,240/427,177,824
  6. Step 6: Final answer
    x = 964,565,410.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.