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Finding the Third Proportional to 17,383,160 and 36,703,780

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Solution

The third proportional to 17,383,160 and 36,703,780 is: 77,498,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383,160 : 36,703,780 = 36,703,780 : x
  2. Step 2: Convert to fraction form
    17,383,160/36,703,780 = 36,703,780/x
  3. Step 3: Cross multiply
    17,383,160x = 36,703,780 × 36,703,780
  4. Step 4: Simplify right side
    17,383,160x = 1,347,167,466,288,400
  5. Step 5: Solve for x
    x = 1,347,167,466,288,400/17,383,160
  6. Step 6: Final answer
    x = 77,498,421.82

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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.