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Finding the Third Proportional to 5,360,976 and 11,561,696

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Solution

The third proportional to 5,360,976 and 11,561,696 is: 24,934,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360,976 : 11,561,696 = 11,561,696 : x
  2. Step 2: Convert to fraction form
    5,360,976/11,561,696 = 11,561,696/x
  3. Step 3: Cross multiply
    5,360,976x = 11,561,696 × 11,561,696
  4. Step 4: Simplify right side
    5,360,976x = 133,672,814,396,416
  5. Step 5: Solve for x
    x = 133,672,814,396,416/5,360,976
  6. Step 6: Final answer
    x = 24,934,417.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.