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Finding the Third Proportional to 535,086,326 and 1,175,397,997

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Solution

The third proportional to 535,086,326 and 1,175,397,997 is: 2,581,939,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086,326 : 1,175,397,997 = 1,175,397,997 : x
  2. Step 2: Convert to fraction form
    535,086,326/1,175,397,997 = 1,175,397,997/x
  3. Step 3: Cross multiply
    535,086,326x = 1,175,397,997 × 1,175,397,997
  4. Step 4: Simplify right side
    535,086,326x = 1,381,560,451,351,611,904
  5. Step 5: Solve for x
    x = 1,381,560,451,351,611,904/535,086,326
  6. Step 6: Final answer
    x = 2,581,939,369.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.