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Finding the Third Proportional to 363,008,256 and 796,548,864

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Solution

The third proportional to 363,008,256 and 796,548,864 is: 1,747,866,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,008,256 : 796,548,864 = 796,548,864 : x
  2. Step 2: Convert to fraction form
    363,008,256/796,548,864 = 796,548,864/x
  3. Step 3: Cross multiply
    363,008,256x = 796,548,864 × 796,548,864
  4. Step 4: Simplify right side
    363,008,256x = 634,490,092,739,690,496
  5. Step 5: Solve for x
    x = 634,490,092,739,690,496/363,008,256
  6. Step 6: Final answer
    x = 1,747,866,838.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.