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Finding the Third Proportional to 3,611,219,852 and 5,085,393,321

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Solution

The third proportional to 3,611,219,852 and 5,085,393,321 is: 7,161,354,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611,219,852 : 5,085,393,321 = 5,085,393,321 : x
  2. Step 2: Convert to fraction form
    3,611,219,852/5,085,393,321 = 5,085,393,321/x
  3. Step 3: Cross multiply
    3,611,219,852x = 5,085,393,321 × 5,085,393,321
  4. Step 4: Simplify right side
    3,611,219,852x = 25,861,225,229,271,408,640
  5. Step 5: Solve for x
    x = 25,861,225,229,271,408,640/3,611,219,852
  6. Step 6: Final answer
    x = 7,161,354,414.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.