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Finding the Third Proportional to 99,033,690,504 and 214,512,041,625

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Solution

The third proportional to 99,033,690,504 and 214,512,041,625 is: 464,644,059,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,033,690,504 : 214,512,041,625 = 214,512,041,625 : x
  2. Step 2: Convert to fraction form
    99,033,690,504/214,512,041,625 = 214,512,041,625/x
  3. Step 3: Cross multiply
    99,033,690,504x = 214,512,041,625 × 214,512,041,625
  4. Step 4: Simplify right side
    99,033,690,504x = 46,015,416,002,125,729,103,872
  5. Step 5: Solve for x
    x = 46,015,416,002,125,729,103,872/99,033,690,504
  6. Step 6: Final answer
    x = 464,644,059,692.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.