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Finding the Third Proportional to 25,508,436,268 and 35,905,846,245

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Solution

The third proportional to 25,508,436,268 and 35,905,846,245 is: 50,541,310,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508,436,268 : 35,905,846,245 = 35,905,846,245 : x
  2. Step 2: Convert to fraction form
    25,508,436,268/35,905,846,245 = 35,905,846,245/x
  3. Step 3: Cross multiply
    25,508,436,268x = 35,905,846,245 × 35,905,846,245
  4. Step 4: Simplify right side
    25,508,436,268x = 1,289,229,794,569,580,707,840
  5. Step 5: Solve for x
    x = 1,289,229,794,569,580,707,840/25,508,436,268
  6. Step 6: Final answer
    x = 50,541,310,373.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.