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Finding the Third Proportional to 1,581,536,016 and 3,293,974,824

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Solution

The third proportional to 1,581,536,016 and 3,293,974,824 is: 6,860,589,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,536,016 : 3,293,974,824 = 3,293,974,824 : x
  2. Step 2: Convert to fraction form
    1,581,536,016/3,293,974,824 = 3,293,974,824/x
  3. Step 3: Cross multiply
    1,581,536,016x = 3,293,974,824 × 3,293,974,824
  4. Step 4: Simplify right side
    1,581,536,016x = 10,850,270,141,145,831,424
  5. Step 5: Solve for x
    x = 10,850,270,141,145,831,424/1,581,536,016
  6. Step 6: Final answer
    x = 6,860,589,977.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.