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Finding the Third Proportional to 25,508,436,512 and 35,905,846,600

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Solution

The third proportional to 25,508,436,512 and 35,905,846,600 is: 50,541,310,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508,436,512 : 35,905,846,600 = 35,905,846,600 : x
  2. Step 2: Convert to fraction form
    25,508,436,512/35,905,846,600 = 35,905,846,600/x
  3. Step 3: Cross multiply
    25,508,436,512x = 35,905,846,600 × 35,905,846,600
  4. Step 4: Simplify right side
    25,508,436,512x = 1,289,229,820,062,731,599,872
  5. Step 5: Solve for x
    x = 1,289,229,820,062,731,599,872/25,508,436,512
  6. Step 6: Final answer
    x = 50,541,310,889.68

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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.