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Finding the Third Proportional to 215,740,274 and 475,455,286

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Solution

The third proportional to 215,740,274 and 475,455,286 is: 1,047,823,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,740,274 : 475,455,286 = 475,455,286 : x
  2. Step 2: Convert to fraction form
    215,740,274/475,455,286 = 475,455,286/x
  3. Step 3: Cross multiply
    215,740,274x = 475,455,286 × 475,455,286
  4. Step 4: Simplify right side
    215,740,274x = 226,057,728,985,341,792
  5. Step 5: Solve for x
    x = 226,057,728,985,341,792/215,740,274
  6. Step 6: Final answer
    x = 1,047,823,499.96

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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.