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Finding the Third Proportional to 338,420,825,640 and 511,983,793,980

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Solution

The third proportional to 338,420,825,640 and 511,983,793,980 is: 774,560,504,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,420,825,640 : 511,983,793,980 = 511,983,793,980 : x
  2. Step 2: Convert to fraction form
    338,420,825,640/511,983,793,980 = 511,983,793,980/x
  3. Step 3: Cross multiply
    338,420,825,640x = 511,983,793,980 × 511,983,793,980
  4. Step 4: Simplify right side
    338,420,825,640x = 262,127,405,298,155,079,598,080
  5. Step 5: Solve for x
    x = 262,127,405,298,155,079,598,080/338,420,825,640
  6. Step 6: Final answer
    x = 774,560,504,077.83

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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.