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Finding the Third Proportional to 11,696,814 and 26,083,110

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Solution

The third proportional to 11,696,814 and 26,083,110 is: 58,163,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696,814 : 26,083,110 = 26,083,110 : x
  2. Step 2: Convert to fraction form
    11,696,814/26,083,110 = 26,083,110/x
  3. Step 3: Cross multiply
    11,696,814x = 26,083,110 × 26,083,110
  4. Step 4: Simplify right side
    11,696,814x = 680,328,627,272,100
  5. Step 5: Solve for x
    x = 680,328,627,272,100/11,696,814
  6. Step 6: Final answer
    x = 58,163,584.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.