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Finding the Third Proportional to 8,090,271 and 17,381,174.63

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Solution

The third proportional to 8,090,271 and 17,381,174.63 is: 37,341,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090,271 : 17,381,174.63 = 17,381,174.63 : x
  2. Step 2: Convert to fraction form
    8,090,271/17,381,174.63 = 17,381,174.63/x
  3. Step 3: Cross multiply
    8,090,271x = 17,381,174.63 × 17,381,174.63
  4. Step 4: Simplify right side
    8,090,271x = 302,105,231,344,743.88
  5. Step 5: Solve for x
    x = 302,105,231,344,743.88/8,090,271
  6. Step 6: Final answer
    x = 37,341,793.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.