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Finding the Third Proportional to 338,420,825,644.50 and 511,983,793,986.75

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Solution

The third proportional to 338,420,825,644.50 and 511,983,793,986.75 is: 774,560,504,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,420,825,644.50 : 511,983,793,986.75 = 511,983,793,986.75 : x
  2. Step 2: Convert to fraction form
    338,420,825,644.50/511,983,793,986.75 = 511,983,793,986.75/x
  3. Step 3: Cross multiply
    338,420,825,644.50x = 511,983,793,986.75 × 511,983,793,986.75
  4. Step 4: Simplify right side
    338,420,825,644.50x = 262,127,405,305,066,856,382,464
  5. Step 5: Solve for x
    x = 262,127,405,305,066,856,382,464/338,420,825,644.50
  6. Step 6: Final answer
    x = 774,560,504,087.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.