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Finding the Third Proportional to 339,309,936,865 and 506,022,449,158

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Solution

The third proportional to 339,309,936,865 and 506,022,449,158 is: 754,645,506,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,309,936,865 : 506,022,449,158 = 506,022,449,158 : x
  2. Step 2: Convert to fraction form
    339,309,936,865/506,022,449,158 = 506,022,449,158/x
  3. Step 3: Cross multiply
    339,309,936,865x = 506,022,449,158 × 506,022,449,158
  4. Step 4: Simplify right side
    339,309,936,865x = 256,058,719,051,860,687,192,064
  5. Step 5: Solve for x
    x = 256,058,719,051,860,687,192,064/339,309,936,865
  6. Step 6: Final answer
    x = 754,645,506,163.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.