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Finding the Third Proportional to 8,003,524 and 17,524,952

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Solution

The third proportional to 8,003,524 and 17,524,952 is: 38,373,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003,524 : 17,524,952 = 17,524,952 : x
  2. Step 2: Convert to fraction form
    8,003,524/17,524,952 = 17,524,952/x
  3. Step 3: Cross multiply
    8,003,524x = 17,524,952 × 17,524,952
  4. Step 4: Simplify right side
    8,003,524x = 307,123,942,602,304
  5. Step 5: Solve for x
    x = 307,123,942,602,304/8,003,524
  6. Step 6: Final answer
    x = 38,373,589.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.