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Finding the Third Proportional to 338,420,825,644 and 511,983,793,986

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Solution

The third proportional to 338,420,825,644 and 511,983,793,986 is: 774,560,504,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,420,825,644 : 511,983,793,986 = 511,983,793,986 : x
  2. Step 2: Convert to fraction form
    338,420,825,644/511,983,793,986 = 511,983,793,986/x
  3. Step 3: Cross multiply
    338,420,825,644x = 511,983,793,986 × 511,983,793,986
  4. Step 4: Simplify right side
    338,420,825,644x = 262,127,405,304,298,896,097,280
  5. Step 5: Solve for x
    x = 262,127,405,304,298,896,097,280/338,420,825,644
  6. Step 6: Final answer
    x = 774,560,504,086.83

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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.