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Finding the Third Proportional to 338,420,825,647.50 and 511,983,793,992

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Solution

The third proportional to 338,420,825,647.50 and 511,983,793,992 is: 774,560,504,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,420,825,647.50 : 511,983,793,992 = 511,983,793,992 : x
  2. Step 2: Convert to fraction form
    338,420,825,647.50/511,983,793,992 = 511,983,793,992/x
  3. Step 3: Cross multiply
    338,420,825,647.50x = 511,983,793,992 × 511,983,793,992
  4. Step 4: Simplify right side
    338,420,825,647.50x = 262,127,405,310,442,679,042,048
  5. Step 5: Solve for x
    x = 262,127,405,310,442,679,042,048/338,420,825,647.50
  6. Step 6: Final answer
    x = 774,560,504,096.98

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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.