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Finding the Third Proportional to 8,382,059 and 12,813,660

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Solution

The third proportional to 8,382,059 and 12,813,660 is: 19,588,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382,059 : 12,813,660 = 12,813,660 : x
  2. Step 2: Convert to fraction form
    8,382,059/12,813,660 = 12,813,660/x
  3. Step 3: Cross multiply
    8,382,059x = 12,813,660 × 12,813,660
  4. Step 4: Simplify right side
    8,382,059x = 164,189,882,595,600
  5. Step 5: Solve for x
    x = 164,189,882,595,600/8,382,059
  6. Step 6: Final answer
    x = 19,588,251.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.