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Finding the Third Proportional to 7,389,847 and 17,266,016

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Solution

The third proportional to 7,389,847 and 17,266,016 is: 40,341,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389,847 : 17,266,016 = 17,266,016 : x
  2. Step 2: Convert to fraction form
    7,389,847/17,266,016 = 17,266,016/x
  3. Step 3: Cross multiply
    7,389,847x = 17,266,016 × 17,266,016
  4. Step 4: Simplify right side
    7,389,847x = 298,115,308,512,256
  5. Step 5: Solve for x
    x = 298,115,308,512,256/7,389,847
  6. Step 6: Final answer
    x = 40,341,201.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.