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Finding the Third Proportional to 8,183,614 and 17,229,877

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Solution

The third proportional to 8,183,614 and 17,229,877 is: 36,275,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183,614 : 17,229,877 = 17,229,877 : x
  2. Step 2: Convert to fraction form
    8,183,614/17,229,877 = 17,229,877/x
  3. Step 3: Cross multiply
    8,183,614x = 17,229,877 × 17,229,877
  4. Step 4: Simplify right side
    8,183,614x = 296,868,661,435,129
  5. Step 5: Solve for x
    x = 296,868,661,435,129/8,183,614
  6. Step 6: Final answer
    x = 36,275,985.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.