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Finding the Third Proportional to 8,271,911 and 18,176,593

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Solution

The third proportional to 8,271,911 and 18,176,593 is: 39,941,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271,911 : 18,176,593 = 18,176,593 : x
  2. Step 2: Convert to fraction form
    8,271,911/18,176,593 = 18,176,593/x
  3. Step 3: Cross multiply
    8,271,911x = 18,176,593 × 18,176,593
  4. Step 4: Simplify right side
    8,271,911x = 330,388,533,087,649
  5. Step 5: Solve for x
    x = 330,388,533,087,649/8,271,911
  6. Step 6: Final answer
    x = 39,941,016.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.