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Finding the Third Proportional to 11,184,230 and 24,461,812

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Solution

The third proportional to 11,184,230 and 24,461,812 is: 53,502,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184,230 : 24,461,812 = 24,461,812 : x
  2. Step 2: Convert to fraction form
    11,184,230/24,461,812 = 24,461,812/x
  3. Step 3: Cross multiply
    11,184,230x = 24,461,812 × 24,461,812
  4. Step 4: Simplify right side
    11,184,230x = 598,380,246,323,344
  5. Step 5: Solve for x
    x = 598,380,246,323,344/11,184,230
  6. Step 6: Final answer
    x = 53,502,140.63

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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.