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Finding the Third Proportional to 5,113,414 and 11,188,824

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Solution

The third proportional to 5,113,414 and 11,188,824 is: 24,482,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,414 : 11,188,824 = 11,188,824 : x
  2. Step 2: Convert to fraction form
    5,113,414/11,188,824 = 11,188,824/x
  3. Step 3: Cross multiply
    5,113,414x = 11,188,824 × 11,188,824
  4. Step 4: Simplify right side
    5,113,414x = 125,189,782,502,976
  5. Step 5: Solve for x
    x = 125,189,782,502,976/5,113,414
  6. Step 6: Final answer
    x = 24,482,622.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.