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Finding the Third Proportional to 49,891,488 and 74,633,796

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Solution

The third proportional to 49,891,488 and 74,633,796 is: 111,646,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891,488 : 74,633,796 = 74,633,796 : x
  2. Step 2: Convert to fraction form
    49,891,488/74,633,796 = 74,633,796/x
  3. Step 3: Cross multiply
    49,891,488x = 74,633,796 × 74,633,796
  4. Step 4: Simplify right side
    49,891,488x = 5,570,203,505,369,616
  5. Step 5: Solve for x
    x = 5,570,203,505,369,616/49,891,488
  6. Step 6: Final answer
    x = 111,646,369.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.