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Finding the Third Proportional to 227,231,400 and 490,783,416

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Solution

The third proportional to 227,231,400 and 490,783,416 is: 1,060,013,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,231,400 : 490,783,416 = 490,783,416 : x
  2. Step 2: Convert to fraction form
    227,231,400/490,783,416 = 490,783,416/x
  3. Step 3: Cross multiply
    227,231,400x = 490,783,416 × 490,783,416
  4. Step 4: Simplify right side
    227,231,400x = 240,868,361,420,629,056
  5. Step 5: Solve for x
    x = 240,868,361,420,629,056/227,231,400
  6. Step 6: Final answer
    x = 1,060,013,543.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.