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Finding the Third Proportional to 10,941,778 and 17,163,811

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Solution

The third proportional to 10,941,778 and 17,163,811 is: 26,923,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941,778 : 17,163,811 = 17,163,811 : x
  2. Step 2: Convert to fraction form
    10,941,778/17,163,811 = 17,163,811/x
  3. Step 3: Cross multiply
    10,941,778x = 17,163,811 × 17,163,811
  4. Step 4: Simplify right side
    10,941,778x = 294,596,408,043,721
  5. Step 5: Solve for x
    x = 294,596,408,043,721/10,941,778
  6. Step 6: Final answer
    x = 26,923,997.91

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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.