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Finding the Third Proportional to 796,397,163.38 and 1,107,326,597.25

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Solution

The third proportional to 796,397,163.38 and 1,107,326,597.25 is: 1,539,649,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,397,163.38 : 1,107,326,597.25 = 1,107,326,597.25 : x
  2. Step 2: Convert to fraction form
    796,397,163.38/1,107,326,597.25 = 1,107,326,597.25/x
  3. Step 3: Cross multiply
    796,397,163.38x = 1,107,326,597.25 × 1,107,326,597.25
  4. Step 4: Simplify right side
    796,397,163.38x = 1,226,172,192,977,263,616
  5. Step 5: Solve for x
    x = 1,226,172,192,977,263,616/796,397,163.38
  6. Step 6: Final answer
    x = 1,539,649,121.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.