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Finding the Third Proportional to 338,420,825,642 and 511,983,793,983

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Solution

The third proportional to 338,420,825,642 and 511,983,793,983 is: 774,560,504,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,420,825,642 : 511,983,793,983 = 511,983,793,983 : x
  2. Step 2: Convert to fraction form
    338,420,825,642/511,983,793,983 = 511,983,793,983/x
  3. Step 3: Cross multiply
    338,420,825,642x = 511,983,793,983 × 511,983,793,983
  4. Step 4: Simplify right side
    338,420,825,642x = 262,127,405,301,226,987,847,680
  5. Step 5: Solve for x
    x = 262,127,405,301,226,987,847,680/338,420,825,642
  6. Step 6: Final answer
    x = 774,560,504,082.33

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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.