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Finding the Third Proportional to 3,677,941,080 and 5,511,517,992

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Solution

The third proportional to 3,677,941,080 and 5,511,517,992 is: 8,259,194,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,941,080 : 5,511,517,992 = 5,511,517,992 : x
  2. Step 2: Convert to fraction form
    3,677,941,080/5,511,517,992 = 5,511,517,992/x
  3. Step 3: Cross multiply
    3,677,941,080x = 5,511,517,992 × 5,511,517,992
  4. Step 4: Simplify right side
    3,677,941,080x = 30,376,830,576,139,710,464
  5. Step 5: Solve for x
    x = 30,376,830,576,139,710,464/3,677,941,080
  6. Step 6: Final answer
    x = 8,259,194,455.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.