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Finding the Third Proportional to 339,309,936,866 and 506,022,449,159.50

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Solution

The third proportional to 339,309,936,866 and 506,022,449,159.50 is: 754,645,506,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,309,936,866 : 506,022,449,159.50 = 506,022,449,159.50 : x
  2. Step 2: Convert to fraction form
    339,309,936,866/506,022,449,159.50 = 506,022,449,159.50/x
  3. Step 3: Cross multiply
    339,309,936,866x = 506,022,449,159.50 × 506,022,449,159.50
  4. Step 4: Simplify right side
    339,309,936,866x = 256,058,719,053,378,756,804,608
  5. Step 5: Solve for x
    x = 256,058,719,053,378,756,804,608/339,309,936,866
  6. Step 6: Final answer
    x = 754,645,506,165.95

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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.