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Finding the Third Proportional to 4,365,900 and 9,184,225

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Solution

The third proportional to 4,365,900 and 9,184,225 is: 19,320,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365,900 : 9,184,225 = 9,184,225 : x
  2. Step 2: Convert to fraction form
    4,365,900/9,184,225 = 9,184,225/x
  3. Step 3: Cross multiply
    4,365,900x = 9,184,225 × 9,184,225
  4. Step 4: Simplify right side
    4,365,900x = 84,349,988,850,625
  5. Step 5: Solve for x
    x = 84,349,988,850,625/4,365,900
  6. Step 6: Final answer
    x = 19,320,183.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.