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Finding the Third Proportional to 49,568,020 and 107,370,824

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Solution

The third proportional to 49,568,020 and 107,370,824 is: 232,579,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,568,020 : 107,370,824 = 107,370,824 : x
  2. Step 2: Convert to fraction form
    49,568,020/107,370,824 = 107,370,824/x
  3. Step 3: Cross multiply
    49,568,020x = 107,370,824 × 107,370,824
  4. Step 4: Simplify right side
    49,568,020x = 11,528,493,846,438,976
  5. Step 5: Solve for x
    x = 11,528,493,846,438,976/49,568,020
  6. Step 6: Final answer
    x = 232,579,268.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.