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Finding the Third Proportional to 11,517,638 and 17,398,942

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Solution

The third proportional to 11,517,638 and 17,398,942 is: 26,283,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517,638 : 17,398,942 = 17,398,942 : x
  2. Step 2: Convert to fraction form
    11,517,638/17,398,942 = 17,398,942/x
  3. Step 3: Cross multiply
    11,517,638x = 17,398,942 × 17,398,942
  4. Step 4: Simplify right side
    11,517,638x = 302,723,182,719,364
  5. Step 5: Solve for x
    x = 302,723,182,719,364/11,517,638
  6. Step 6: Final answer
    x = 26,283,443.07

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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.