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Finding the Third Proportional to 12,202,177 and 18,428,318

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Solution

The third proportional to 12,202,177 and 18,428,318 is: 27,831,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202,177 : 18,428,318 = 18,428,318 : x
  2. Step 2: Convert to fraction form
    12,202,177/18,428,318 = 18,428,318/x
  3. Step 3: Cross multiply
    12,202,177x = 18,428,318 × 18,428,318
  4. Step 4: Simplify right side
    12,202,177x = 339,602,904,309,124
  5. Step 5: Solve for x
    x = 339,602,904,309,124/12,202,177
  6. Step 6: Final answer
    x = 27,831,337.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.