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Finding the Third Proportional to 245,745,180 and 527,959,611

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Solution

The third proportional to 245,745,180 and 527,959,611 is: 1,134,269,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,745,180 : 527,959,611 = 527,959,611 : x
  2. Step 2: Convert to fraction form
    245,745,180/527,959,611 = 527,959,611/x
  3. Step 3: Cross multiply
    245,745,180x = 527,959,611 × 527,959,611
  4. Step 4: Simplify right side
    245,745,180x = 278,741,350,847,271,328
  5. Step 5: Solve for x
    x = 278,741,350,847,271,328/245,745,180
  6. Step 6: Final answer
    x = 1,134,269,859.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.