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Finding the Third Proportional to 11,240,351,198,816 and 15,165,873,007,322

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Solution

The third proportional to 11,240,351,198,816 and 15,165,873,007,322 is: 20,462,323,641,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240,351,198,816 : 15,165,873,007,322 = 15,165,873,007,322 : x
  2. Step 2: Convert to fraction form
    11,240,351,198,816/15,165,873,007,322 = 15,165,873,007,322/x
  3. Step 3: Cross multiply
    11,240,351,198,816x = 15,165,873,007,322 × 15,165,873,007,322
  4. Step 4: Simplify right side
    11,240,351,198,816x = 230,003,704,074,218,045,989,453,824
  5. Step 5: Solve for x
    x = 230,003,704,074,218,045,989,453,824/11,240,351,198,816
  6. Step 6: Final answer
    x = 20,462,323,641,493.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.