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Finding the Third Proportional to 3,863,122,096 and 8,368,022,343

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Solution

The third proportional to 3,863,122,096 and 8,368,022,343 is: 18,126,219,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,122,096 : 8,368,022,343 = 8,368,022,343 : x
  2. Step 2: Convert to fraction form
    3,863,122,096/8,368,022,343 = 8,368,022,343/x
  3. Step 3: Cross multiply
    3,863,122,096x = 8,368,022,343 × 8,368,022,343
  4. Step 4: Simplify right side
    3,863,122,096x = 70,023,797,932,947,210,240
  5. Step 5: Solve for x
    x = 70,023,797,932,947,210,240/3,863,122,096
  6. Step 6: Final answer
    x = 18,126,219,206.34

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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.