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Finding the Third Proportional to 25,508,436,270 and 35,905,846,248

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Solution

The third proportional to 25,508,436,270 and 35,905,846,248 is: 50,541,310,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508,436,270 : 35,905,846,248 = 35,905,846,248 : x
  2. Step 2: Convert to fraction form
    25,508,436,270/35,905,846,248 = 35,905,846,248/x
  3. Step 3: Cross multiply
    25,508,436,270x = 35,905,846,248 × 35,905,846,248
  4. Step 4: Simplify right side
    25,508,436,270x = 1,289,229,794,785,015,627,776
  5. Step 5: Solve for x
    x = 1,289,229,794,785,015,627,776/25,508,436,270
  6. Step 6: Final answer
    x = 50,541,310,378.22

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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.