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Finding the Third Proportional to 11,197,142 and 16,792,801

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Solution

The third proportional to 11,197,142 and 16,792,801 is: 25,184,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197,142 : 16,792,801 = 16,792,801 : x
  2. Step 2: Convert to fraction form
    11,197,142/16,792,801 = 16,792,801/x
  3. Step 3: Cross multiply
    11,197,142x = 16,792,801 × 16,792,801
  4. Step 4: Simplify right side
    11,197,142x = 281,998,165,425,601
  5. Step 5: Solve for x
    x = 281,998,165,425,601/11,197,142
  6. Step 6: Final answer
    x = 25,184,834.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.