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Finding the Third Proportional to 339,309,936,864.50 and 506,022,449,156

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Solution

The third proportional to 339,309,936,864.50 and 506,022,449,156 is: 754,645,506,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,309,936,864.50 : 506,022,449,156 = 506,022,449,156 : x
  2. Step 2: Convert to fraction form
    339,309,936,864.50/506,022,449,156 = 506,022,449,156/x
  3. Step 3: Cross multiply
    339,309,936,864.50x = 506,022,449,156 × 506,022,449,156
  4. Step 4: Simplify right side
    339,309,936,864.50x = 256,058,719,049,836,616,744,960
  5. Step 5: Solve for x
    x = 256,058,719,049,836,616,744,960/339,309,936,864.50
  6. Step 6: Final answer
    x = 754,645,506,158.85

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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.