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Finding the Third Proportional to 8,094,067,218 and 18,049,222,836

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Solution

The third proportional to 8,094,067,218 and 18,049,222,836 is: 40,248,547,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094,067,218 : 18,049,222,836 = 18,049,222,836 : x
  2. Step 2: Convert to fraction form
    8,094,067,218/18,049,222,836 = 18,049,222,836/x
  3. Step 3: Cross multiply
    8,094,067,218x = 18,049,222,836 × 18,049,222,836
  4. Step 4: Simplify right side
    8,094,067,218x = 325,774,444,983,583,899,648
  5. Step 5: Solve for x
    x = 325,774,444,983,583,899,648/8,094,067,218
  6. Step 6: Final answer
    x = 40,248,547,017.14

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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.