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Finding the Third Proportional to 5,257,820,909 and 8,167,331,767

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Solution

The third proportional to 5,257,820,909 and 8,167,331,767 is: 12,686,873,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257,820,909 : 8,167,331,767 = 8,167,331,767 : x
  2. Step 2: Convert to fraction form
    5,257,820,909/8,167,331,767 = 8,167,331,767/x
  3. Step 3: Cross multiply
    5,257,820,909x = 8,167,331,767 × 8,167,331,767
  4. Step 4: Simplify right side
    5,257,820,909x = 66,705,308,192,247,341,056
  5. Step 5: Solve for x
    x = 66,705,308,192,247,341,056/5,257,820,909
  6. Step 6: Final answer
    x = 12,686,873,392.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.