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Finding the Third Proportional to 16,940,126,760 and 25,628,062,800

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Solution

The third proportional to 16,940,126,760 and 25,628,062,800 is: 38,771,705,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940,126,760 : 25,628,062,800 = 25,628,062,800 : x
  2. Step 2: Convert to fraction form
    16,940,126,760/25,628,062,800 = 25,628,062,800/x
  3. Step 3: Cross multiply
    16,940,126,760x = 25,628,062,800 × 25,628,062,800
  4. Step 4: Simplify right side
    16,940,126,760x = 656,797,602,880,743,800,832
  5. Step 5: Solve for x
    x = 656,797,602,880,743,800,832/16,940,126,760
  6. Step 6: Final answer
    x = 38,771,705,323.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.