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Finding the Third Proportional to 15,226,454,851 and 23,277,322,847

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Solution

The third proportional to 15,226,454,851 and 23,277,322,847 is: 35,585,023,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226,454,851 : 23,277,322,847 = 23,277,322,847 : x
  2. Step 2: Convert to fraction form
    15,226,454,851/23,277,322,847 = 23,277,322,847/x
  3. Step 3: Cross multiply
    15,226,454,851x = 23,277,322,847 × 23,277,322,847
  4. Step 4: Simplify right side
    15,226,454,851x = 541,833,758,923,468,177,408
  5. Step 5: Solve for x
    x = 541,833,758,923,468,177,408/15,226,454,851
  6. Step 6: Final answer
    x = 35,585,023,843.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.