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Finding the Third Proportional to 37,866,295.13 and 82,915,067.81

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Solution

The third proportional to 37,866,295.13 and 82,915,067.81 is: 181,557,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866,295.13 : 82,915,067.81 = 82,915,067.81 : x
  2. Step 2: Convert to fraction form
    37,866,295.13/82,915,067.81 = 82,915,067.81/x
  3. Step 3: Cross multiply
    37,866,295.13x = 82,915,067.81 × 82,915,067.81
  4. Step 4: Simplify right side
    37,866,295.13x = 6,874,908,470,351,474
  5. Step 5: Solve for x
    x = 6,874,908,470,351,474/37,866,295.13
  6. Step 6: Final answer
    x = 181,557,462.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.