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Finding the Third Proportional to 271,638,389 and 589,213,161

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Solution

The third proportional to 271,638,389 and 589,213,161 is: 1,278,067,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,638,389 : 589,213,161 = 589,213,161 : x
  2. Step 2: Convert to fraction form
    271,638,389/589,213,161 = 589,213,161/x
  3. Step 3: Cross multiply
    271,638,389x = 589,213,161 × 589,213,161
  4. Step 4: Simplify right side
    271,638,389x = 347,172,149,095,611,904
  5. Step 5: Solve for x
    x = 347,172,149,095,611,904/271,638,389
  6. Step 6: Final answer
    x = 1,278,067,324.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.