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Finding the Third Proportional to 27,442,488 and 37,628,838

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Solution

The third proportional to 27,442,488 and 37,628,838 is: 51,596,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442,488 : 37,628,838 = 37,628,838 : x
  2. Step 2: Convert to fraction form
    27,442,488/37,628,838 = 37,628,838/x
  3. Step 3: Cross multiply
    27,442,488x = 37,628,838 × 37,628,838
  4. Step 4: Simplify right side
    27,442,488x = 1,415,929,449,230,244
  5. Step 5: Solve for x
    x = 1,415,929,449,230,244/27,442,488
  6. Step 6: Final answer
    x = 51,596,249.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.