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Finding the Third Proportional to 363,008,176 and 796,548,704

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Solution

The third proportional to 363,008,176 and 796,548,704 is: 1,747,866,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,008,176 : 796,548,704 = 796,548,704 : x
  2. Step 2: Convert to fraction form
    363,008,176/796,548,704 = 796,548,704/x
  3. Step 3: Cross multiply
    363,008,176x = 796,548,704 × 796,548,704
  4. Step 4: Simplify right side
    363,008,176x = 634,489,837,844,079,616
  5. Step 5: Solve for x
    x = 634,489,837,844,079,616/363,008,176
  6. Step 6: Final answer
    x = 1,747,866,521.45

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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.