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Finding the Third Proportional to 11,057,524 and 17,308,195

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Solution

The third proportional to 11,057,524 and 17,308,195 is: 27,092,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057,524 : 17,308,195 = 17,308,195 : x
  2. Step 2: Convert to fraction form
    11,057,524/17,308,195 = 17,308,195/x
  3. Step 3: Cross multiply
    11,057,524x = 17,308,195 × 17,308,195
  4. Step 4: Simplify right side
    11,057,524x = 299,573,614,158,025
  5. Step 5: Solve for x
    x = 299,573,614,158,025/11,057,524
  6. Step 6: Final answer
    x = 27,092,287.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.