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Finding the Third Proportional to 11,196,898 and 16,792,431

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Solution

The third proportional to 11,196,898 and 16,792,431 is: 25,184,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196,898 : 16,792,431 = 16,792,431 : x
  2. Step 2: Convert to fraction form
    11,196,898/16,792,431 = 16,792,431/x
  3. Step 3: Cross multiply
    11,196,898x = 16,792,431 × 16,792,431
  4. Step 4: Simplify right side
    11,196,898x = 281,985,738,889,761
  5. Step 5: Solve for x
    x = 281,985,738,889,761/11,196,898
  6. Step 6: Final answer
    x = 25,184,273.26

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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.