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Finding the Third Proportional to 505,324,266,390 and 1,123,631,826,336

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Solution

The third proportional to 505,324,266,390 and 1,123,631,826,336 is: 2,498,491,691,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,324,266,390 : 1,123,631,826,336 = 1,123,631,826,336 : x
  2. Step 2: Convert to fraction form
    505,324,266,390/1,123,631,826,336 = 1,123,631,826,336/x
  3. Step 3: Cross multiply
    505,324,266,390x = 1,123,631,826,336 × 1,123,631,826,336
  4. Step 4: Simplify right side
    505,324,266,390x = 1,262,548,481,155,174,957,580,288
  5. Step 5: Solve for x
    x = 1,262,548,481,155,174,957,580,288/505,324,266,390
  6. Step 6: Final answer
    x = 2,498,491,691,631.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.