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Finding the Third Proportional to 4,365,902 and 9,184,229

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Solution

The third proportional to 4,365,902 and 9,184,229 is: 19,320,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365,902 : 9,184,229 = 9,184,229 : x
  2. Step 2: Convert to fraction form
    4,365,902/9,184,229 = 9,184,229/x
  3. Step 3: Cross multiply
    4,365,902x = 9,184,229 × 9,184,229
  4. Step 4: Simplify right side
    4,365,902x = 84,350,062,324,441
  5. Step 5: Solve for x
    x = 84,350,062,324,441/4,365,902
  6. Step 6: Final answer
    x = 19,320,191.41

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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.