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Finding the Third Proportional to 11,776,914 and 17,724,339

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Solution

The third proportional to 11,776,914 and 17,724,339 is: 26,675,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776,914 : 17,724,339 = 17,724,339 : x
  2. Step 2: Convert to fraction form
    11,776,914/17,724,339 = 17,724,339/x
  3. Step 3: Cross multiply
    11,776,914x = 17,724,339 × 17,724,339
  4. Step 4: Simplify right side
    11,776,914x = 314,152,192,986,921
  5. Step 5: Solve for x
    x = 314,152,192,986,921/11,776,914
  6. Step 6: Final answer
    x = 26,675,255.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.