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Finding the Third Proportional to 8,016,016 and 17,291,745

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Solution

The third proportional to 8,016,016 and 17,291,745 is: 37,300,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016,016 : 17,291,745 = 17,291,745 : x
  2. Step 2: Convert to fraction form
    8,016,016/17,291,745 = 17,291,745/x
  3. Step 3: Cross multiply
    8,016,016x = 17,291,745 × 17,291,745
  4. Step 4: Simplify right side
    8,016,016x = 299,004,445,145,025
  5. Step 5: Solve for x
    x = 299,004,445,145,025/8,016,016
  6. Step 6: Final answer
    x = 37,300,879.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.