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Finding the Third Proportional to 409,569,439.50 and 902,622,177

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Solution

The third proportional to 409,569,439.50 and 902,622,177 is: 1,989,227,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,569,439.50 : 902,622,177 = 902,622,177 : x
  2. Step 2: Convert to fraction form
    409,569,439.50/902,622,177 = 902,622,177/x
  3. Step 3: Cross multiply
    409,569,439.50x = 902,622,177 × 902,622,177
  4. Step 4: Simplify right side
    409,569,439.50x = 814,726,794,412,219,392
  5. Step 5: Solve for x
    x = 814,726,794,412,219,392/409,569,439.50
  6. Step 6: Final answer
    x = 1,989,227,505.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.