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Finding the Third Proportional to 8,094,067,201 and 18,049,222,801

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Solution

The third proportional to 8,094,067,201 and 18,049,222,801 is: 40,248,546,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094,067,201 : 18,049,222,801 = 18,049,222,801 : x
  2. Step 2: Convert to fraction form
    8,094,067,201/18,049,222,801 = 18,049,222,801/x
  3. Step 3: Cross multiply
    8,094,067,201x = 18,049,222,801 × 18,049,222,801
  4. Step 4: Simplify right side
    8,094,067,201x = 325,774,443,720,138,293,248
  5. Step 5: Solve for x
    x = 325,774,443,720,138,293,248/8,094,067,201
  6. Step 6: Final answer
    x = 40,248,546,945.58

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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.