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Finding the Third Proportional to 383,573,367 and 828,436,194

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Solution

The third proportional to 383,573,367 and 828,436,194 is: 1,789,244,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,573,367 : 828,436,194 = 828,436,194 : x
  2. Step 2: Convert to fraction form
    383,573,367/828,436,194 = 828,436,194/x
  3. Step 3: Cross multiply
    383,573,367x = 828,436,194 × 828,436,194
  4. Step 4: Simplify right side
    383,573,367x = 686,306,527,529,205,632
  5. Step 5: Solve for x
    x = 686,306,527,529,205,632/383,573,367
  6. Step 6: Final answer
    x = 1,789,244,474.65

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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.