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Finding the Third Proportional to 31,498,824 and 49,347,756

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Solution

The third proportional to 31,498,824 and 49,347,756 is: 77,310,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498,824 : 49,347,756 = 49,347,756 : x
  2. Step 2: Convert to fraction form
    31,498,824/49,347,756 = 49,347,756/x
  3. Step 3: Cross multiply
    31,498,824x = 49,347,756 × 49,347,756
  4. Step 4: Simplify right side
    31,498,824x = 2,435,201,022,235,536
  5. Step 5: Solve for x
    x = 2,435,201,022,235,536/31,498,824
  6. Step 6: Final answer
    x = 77,310,855.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.