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Finding the Third Proportional to 16,798,647,285 and 35,993,392,089.75

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Solution

The third proportional to 16,798,647,285 and 35,993,392,089.75 is: 77,120,749,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798,647,285 : 35,993,392,089.75 = 35,993,392,089.75 : x
  2. Step 2: Convert to fraction form
    16,798,647,285/35,993,392,089.75 = 35,993,392,089.75/x
  3. Step 3: Cross multiply
    16,798,647,285x = 35,993,392,089.75 × 35,993,392,089.75
  4. Step 4: Simplify right side
    16,798,647,285x = 1,295,524,274,126,477,852,672
  5. Step 5: Solve for x
    x = 1,295,524,274,126,477,852,672/16,798,647,285
  6. Step 6: Final answer
    x = 77,120,749,792.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.