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Finding the Third Proportional to 8,237,727 and 17,715,159

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Solution

The third proportional to 8,237,727 and 17,715,159 is: 38,096,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237,727 : 17,715,159 = 17,715,159 : x
  2. Step 2: Convert to fraction form
    8,237,727/17,715,159 = 17,715,159/x
  3. Step 3: Cross multiply
    8,237,727x = 17,715,159 × 17,715,159
  4. Step 4: Simplify right side
    8,237,727x = 313,826,858,395,281
  5. Step 5: Solve for x
    x = 313,826,858,395,281/8,237,727
  6. Step 6: Final answer
    x = 38,096,292.63

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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.