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Finding the Third Proportional to 5,384,690,096 and 8,271,543,279

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Solution

The third proportional to 5,384,690,096 and 8,271,543,279 is: 12,706,103,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,690,096 : 8,271,543,279 = 8,271,543,279 : x
  2. Step 2: Convert to fraction form
    5,384,690,096/8,271,543,279 = 8,271,543,279/x
  3. Step 3: Cross multiply
    5,384,690,096x = 8,271,543,279 × 8,271,543,279
  4. Step 4: Simplify right side
    5,384,690,096x = 68,418,428,216,370,069,504
  5. Step 5: Solve for x
    x = 68,418,428,216,370,069,504/5,384,690,096
  6. Step 6: Final answer
    x = 12,706,103,229.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.