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Finding the Third Proportional to 263,809,611 and 563,847,013

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Solution

The third proportional to 263,809,611 and 563,847,013 is: 1,205,124,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,809,611 : 563,847,013 = 563,847,013 : x
  2. Step 2: Convert to fraction form
    263,809,611/563,847,013 = 563,847,013/x
  3. Step 3: Cross multiply
    263,809,611x = 563,847,013 × 563,847,013
  4. Step 4: Simplify right side
    263,809,611x = 317,923,454,069,022,144
  5. Step 5: Solve for x
    x = 317,923,454,069,022,144/263,809,611
  6. Step 6: Final answer
    x = 1,205,124,608.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.