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Finding the Third Proportional to 4,006,247,096 and 8,563,827,496

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Solution

The third proportional to 4,006,247,096 and 8,563,827,496 is: 18,306,195,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006,247,096 : 8,563,827,496 = 8,563,827,496 : x
  2. Step 2: Convert to fraction form
    4,006,247,096/8,563,827,496 = 8,563,827,496/x
  3. Step 3: Cross multiply
    4,006,247,096x = 8,563,827,496 × 8,563,827,496
  4. Step 4: Simplify right side
    4,006,247,096x = 73,339,141,381,245,632,512
  5. Step 5: Solve for x
    x = 73,339,141,381,245,632,512/4,006,247,096
  6. Step 6: Final answer
    x = 18,306,195,205.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.