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Finding the Third Proportional to 11,853,184 and 17,701,728

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Solution

The third proportional to 11,853,184 and 17,701,728 is: 26,436,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853,184 : 17,701,728 = 17,701,728 : x
  2. Step 2: Convert to fraction form
    11,853,184/17,701,728 = 17,701,728/x
  3. Step 3: Cross multiply
    11,853,184x = 17,701,728 × 17,701,728
  4. Step 4: Simplify right side
    11,853,184x = 313,351,174,185,984
  5. Step 5: Solve for x
    x = 313,351,174,185,984/11,853,184
  6. Step 6: Final answer
    x = 26,436,033.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.