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Finding the Third Proportional to 5,150,973 and 11,188,410

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Solution

The third proportional to 5,150,973 and 11,188,410 is: 24,302,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,973 : 11,188,410 = 11,188,410 : x
  2. Step 2: Convert to fraction form
    5,150,973/11,188,410 = 11,188,410/x
  3. Step 3: Cross multiply
    5,150,973x = 11,188,410 × 11,188,410
  4. Step 4: Simplify right side
    5,150,973x = 125,180,518,328,100
  5. Step 5: Solve for x
    x = 125,180,518,328,100/5,150,973
  6. Step 6: Final answer
    x = 24,302,305.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.