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Finding the Third Proportional to 8,509,733 and 12,734,517

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Solution

The third proportional to 8,509,733 and 12,734,517 is: 19,056,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,733 : 12,734,517 = 12,734,517 : x
  2. Step 2: Convert to fraction form
    8,509,733/12,734,517 = 12,734,517/x
  3. Step 3: Cross multiply
    8,509,733x = 12,734,517 × 12,734,517
  4. Step 4: Simplify right side
    8,509,733x = 162,167,923,223,289
  5. Step 5: Solve for x
    x = 162,167,923,223,289/8,509,733
  6. Step 6: Final answer
    x = 19,056,758.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.