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Finding the Third Proportional to 49,686,918 and 108,121,836

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Solution

The third proportional to 49,686,918 and 108,121,836 is: 235,279,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686,918 : 108,121,836 = 108,121,836 : x
  2. Step 2: Convert to fraction form
    49,686,918/108,121,836 = 108,121,836/x
  3. Step 3: Cross multiply
    49,686,918x = 108,121,836 × 108,121,836
  4. Step 4: Simplify right side
    49,686,918x = 11,690,331,420,010,896
  5. Step 5: Solve for x
    x = 11,690,331,420,010,896/49,686,918
  6. Step 6: Final answer
    x = 235,279,866.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.