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Finding the Third Proportional to 21,498,067.50 and 46,775,205

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Solution

The third proportional to 21,498,067.50 and 46,775,205 is: 101,772,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498,067.50 : 46,775,205 = 46,775,205 : x
  2. Step 2: Convert to fraction form
    21,498,067.50/46,775,205 = 46,775,205/x
  3. Step 3: Cross multiply
    21,498,067.50x = 46,775,205 × 46,775,205
  4. Step 4: Simplify right side
    21,498,067.50x = 2,187,919,802,792,025
  5. Step 5: Solve for x
    x = 2,187,919,802,792,025/21,498,067.50
  6. Step 6: Final answer
    x = 101,772,859.48

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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.