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Finding the Third Proportional to 265,910,622 and 408,471,274

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Solution

The third proportional to 265,910,622 and 408,471,274 is: 627,461,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910,622 : 408,471,274 = 408,471,274 : x
  2. Step 2: Convert to fraction form
    265,910,622/408,471,274 = 408,471,274/x
  3. Step 3: Cross multiply
    265,910,622x = 408,471,274 × 408,471,274
  4. Step 4: Simplify right side
    265,910,622x = 166,848,781,683,183,072
  5. Step 5: Solve for x
    x = 166,848,781,683,183,072/265,910,622
  6. Step 6: Final answer
    x = 627,461,890.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.