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Finding the Third Proportional to 11,853,186 and 17,701,731

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Solution

The third proportional to 11,853,186 and 17,701,731 is: 26,436,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853,186 : 17,701,731 = 17,701,731 : x
  2. Step 2: Convert to fraction form
    11,853,186/17,701,731 = 17,701,731/x
  3. Step 3: Cross multiply
    11,853,186x = 17,701,731 × 17,701,731
  4. Step 4: Simplify right side
    11,853,186x = 313,351,280,396,361
  5. Step 5: Solve for x
    x = 313,351,280,396,361/11,853,186
  6. Step 6: Final answer
    x = 26,436,038.41

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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.