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Finding the Third Proportional to 5,381,568 and 8,271,636.75

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Solution

The third proportional to 5,381,568 and 8,271,636.75 is: 12,713,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,568 : 8,271,636.75 = 8,271,636.75 : x
  2. Step 2: Convert to fraction form
    5,381,568/8,271,636.75 = 8,271,636.75/x
  3. Step 3: Cross multiply
    5,381,568x = 8,271,636.75 × 8,271,636.75
  4. Step 4: Simplify right side
    5,381,568x = 68,419,974,523,950.56
  5. Step 5: Solve for x
    x = 68,419,974,523,950.56/5,381,568
  6. Step 6: Final answer
    x = 12,713,761.96

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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.