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Finding the Third Proportional to 5,149,781 and 11,184,432

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Solution

The third proportional to 5,149,781 and 11,184,432 is: 24,290,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149,781 : 11,184,432 = 11,184,432 : x
  2. Step 2: Convert to fraction form
    5,149,781/11,184,432 = 11,184,432/x
  3. Step 3: Cross multiply
    5,149,781x = 11,184,432 × 11,184,432
  4. Step 4: Simplify right side
    5,149,781x = 125,091,519,162,624
  5. Step 5: Solve for x
    x = 125,091,519,162,624/5,149,781
  6. Step 6: Final answer
    x = 24,290,648.31

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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.