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Finding the Third Proportional to 6,053,271,165 and 8,520,625,165

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Solution

The third proportional to 6,053,271,165 and 8,520,625,165 is: 11,993,689,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053,271,165 : 8,520,625,165 = 8,520,625,165 : x
  2. Step 2: Convert to fraction form
    6,053,271,165/8,520,625,165 = 8,520,625,165/x
  3. Step 3: Cross multiply
    6,053,271,165x = 8,520,625,165 × 8,520,625,165
  4. Step 4: Simplify right side
    6,053,271,165x = 72,601,053,202,431,279,104
  5. Step 5: Solve for x
    x = 72,601,053,202,431,279,104/6,053,271,165
  6. Step 6: Final answer
    x = 11,993,689,234.05

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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.