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Finding the Third Proportional to 8,094,067,212 and 18,049,222,824

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Solution

The third proportional to 8,094,067,212 and 18,049,222,824 is: 40,248,546,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094,067,212 : 18,049,222,824 = 18,049,222,824 : x
  2. Step 2: Convert to fraction form
    8,094,067,212/18,049,222,824 = 18,049,222,824/x
  3. Step 3: Cross multiply
    8,094,067,212x = 18,049,222,824 × 18,049,222,824
  4. Step 4: Simplify right side
    8,094,067,212x = 325,774,444,550,402,539,520
  5. Step 5: Solve for x
    x = 325,774,444,550,402,539,520/8,094,067,212
  6. Step 6: Final answer
    x = 40,248,546,993.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.