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Finding the Third Proportional to 31,498,816 and 49,347,744

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Solution

The third proportional to 31,498,816 and 49,347,744 is: 77,310,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498,816 : 49,347,744 = 49,347,744 : x
  2. Step 2: Convert to fraction form
    31,498,816/49,347,744 = 49,347,744/x
  3. Step 3: Cross multiply
    31,498,816x = 49,347,744 × 49,347,744
  4. Step 4: Simplify right side
    31,498,816x = 2,435,199,837,889,536
  5. Step 5: Solve for x
    x = 2,435,199,837,889,536/31,498,816
  6. Step 6: Final answer
    x = 77,310,837.27

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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.