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Finding the Third Proportional to 17,083,408 and 27,509,913

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Solution

The third proportional to 17,083,408 and 27,509,913 is: 44,300,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083,408 : 27,509,913 = 27,509,913 : x
  2. Step 2: Convert to fraction form
    17,083,408/27,509,913 = 27,509,913/x
  3. Step 3: Cross multiply
    17,083,408x = 27,509,913 × 27,509,913
  4. Step 4: Simplify right side
    17,083,408x = 756,795,313,267,569
  5. Step 5: Solve for x
    x = 756,795,313,267,569/17,083,408
  6. Step 6: Final answer
    x = 44,300,019.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.