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Finding the Third Proportional to 25,508,436,515 and 35,905,846,604.50

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Solution

The third proportional to 25,508,436,515 and 35,905,846,604.50 is: 50,541,310,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508,436,515 : 35,905,846,604.50 = 35,905,846,604.50 : x
  2. Step 2: Convert to fraction form
    25,508,436,515/35,905,846,604.50 = 35,905,846,604.50/x
  3. Step 3: Cross multiply
    25,508,436,515x = 35,905,846,604.50 × 35,905,846,604.50
  4. Step 4: Simplify right side
    25,508,436,515x = 1,289,229,820,385,884,110,848
  5. Step 5: Solve for x
    x = 1,289,229,820,385,884,110,848/25,508,436,515
  6. Step 6: Final answer
    x = 50,541,310,896.41

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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.