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Finding the Third Proportional to 8,244,837 and 17,585,199

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Solution

The third proportional to 8,244,837 and 17,585,199 is: 37,507,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244,837 : 17,585,199 = 17,585,199 : x
  2. Step 2: Convert to fraction form
    8,244,837/17,585,199 = 17,585,199/x
  3. Step 3: Cross multiply
    8,244,837x = 17,585,199 × 17,585,199
  4. Step 4: Simplify right side
    8,244,837x = 309,239,223,869,601
  5. Step 5: Solve for x
    x = 309,239,223,869,601/8,244,837
  6. Step 6: Final answer
    x = 37,507,014.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.