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Finding the Third Proportional to 454,618,760 and 664,922,022

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Solution

The third proportional to 454,618,760 and 664,922,022 is: 972,510,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,618,760 : 664,922,022 = 664,922,022 : x
  2. Step 2: Convert to fraction form
    454,618,760/664,922,022 = 664,922,022/x
  3. Step 3: Cross multiply
    454,618,760x = 664,922,022 × 664,922,022
  4. Step 4: Simplify right side
    454,618,760x = 442,121,295,340,568,512
  5. Step 5: Solve for x
    x = 442,121,295,340,568,512/454,618,760
  6. Step 6: Final answer
    x = 972,510,011.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.