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Finding the Third Proportional to 11,517,633 and 17,398,935

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Solution

The third proportional to 11,517,633 and 17,398,935 is: 26,283,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517,633 : 17,398,935 = 17,398,935 : x
  2. Step 2: Convert to fraction form
    11,517,633/17,398,935 = 17,398,935/x
  3. Step 3: Cross multiply
    11,517,633x = 17,398,935 × 17,398,935
  4. Step 4: Simplify right side
    11,517,633x = 302,722,939,134,225
  5. Step 5: Solve for x
    x = 302,722,939,134,225/11,517,633
  6. Step 6: Final answer
    x = 26,283,433.34

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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.