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Finding the Third Proportional to 45,425,121,268 and 99,399,002,463

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Solution

The third proportional to 45,425,121,268 and 99,399,002,463 is: 217,504,354,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,425,121,268 : 99,399,002,463 = 99,399,002,463 : x
  2. Step 2: Convert to fraction form
    45,425,121,268/99,399,002,463 = 99,399,002,463/x
  3. Step 3: Cross multiply
    45,425,121,268x = 99,399,002,463 × 99,399,002,463
  4. Step 4: Simplify right side
    45,425,121,268x = 9,880,161,690,639,480,651,776
  5. Step 5: Solve for x
    x = 9,880,161,690,639,480,651,776/45,425,121,268
  6. Step 6: Final answer
    x = 217,504,354,745.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.