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Finding the Third Proportional to 47,825,208 and 76,136,235.75

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Solution

The third proportional to 47,825,208 and 76,136,235.75 is: 121,206,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,825,208 : 76,136,235.75 = 76,136,235.75 : x
  2. Step 2: Convert to fraction form
    47,825,208/76,136,235.75 = 76,136,235.75/x
  3. Step 3: Cross multiply
    47,825,208x = 76,136,235.75 × 76,136,235.75
  4. Step 4: Simplify right side
    47,825,208x = 5,796,726,394,179,578
  5. Step 5: Solve for x
    x = 5,796,726,394,179,578/47,825,208
  6. Step 6: Final answer
    x = 121,206,506.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.