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Finding the Third Proportional to 25,508,436,517 and 35,905,846,607

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Solution

The third proportional to 25,508,436,517 and 35,905,846,607 is: 50,541,310,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508,436,517 : 35,905,846,607 = 35,905,846,607 : x
  2. Step 2: Convert to fraction form
    25,508,436,517/35,905,846,607 = 35,905,846,607/x
  3. Step 3: Cross multiply
    25,508,436,517x = 35,905,846,607 × 35,905,846,607
  4. Step 4: Simplify right side
    25,508,436,517x = 1,289,229,820,565,413,429,248
  5. Step 5: Solve for x
    x = 1,289,229,820,565,413,429,248/25,508,436,517
  6. Step 6: Final answer
    x = 50,541,310,899.48

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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.