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Finding the Third Proportional to 8,206,084 and 17,674,184

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Solution

The third proportional to 8,206,084 and 17,674,184 is: 38,066,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,084 : 17,674,184 = 17,674,184 : x
  2. Step 2: Convert to fraction form
    8,206,084/17,674,184 = 17,674,184/x
  3. Step 3: Cross multiply
    8,206,084x = 17,674,184 × 17,674,184
  4. Step 4: Simplify right side
    8,206,084x = 312,376,780,065,856
  5. Step 5: Solve for x
    x = 312,376,780,065,856/8,206,084
  6. Step 6: Final answer
    x = 38,066,485.80

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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.