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Finding the Third Proportional to 3,798,880,906.62 and 8,251,717,775.84

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Solution

The third proportional to 3,798,880,906.62 and 8,251,717,775.84 is: 17,923,922,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798,880,906.62 : 8,251,717,775.84 = 8,251,717,775.84 : x
  2. Step 2: Convert to fraction form
    3,798,880,906.62/8,251,717,775.84 = 8,251,717,775.84/x
  3. Step 3: Cross multiply
    3,798,880,906.62x = 8,251,717,775.84 × 8,251,717,775.84
  4. Step 4: Simplify right side
    3,798,880,906.62x = 68,090,846,252,047,826,944
  5. Step 5: Solve for x
    x = 68,090,846,252,047,826,944/3,798,880,906.62
  6. Step 6: Final answer
    x = 17,923,922,314.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.