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Finding the Third Proportional to 21,283,352,774 and 29,933,611,660

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Solution

The third proportional to 21,283,352,774 and 29,933,611,660 is: 42,099,622,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283,352,774 : 29,933,611,660 = 29,933,611,660 : x
  2. Step 2: Convert to fraction form
    21,283,352,774/29,933,611,660 = 29,933,611,660/x
  3. Step 3: Cross multiply
    21,283,352,774x = 29,933,611,660 × 29,933,611,660
  4. Step 4: Simplify right side
    21,283,352,774x = 896,021,107,011,687,940,096
  5. Step 5: Solve for x
    x = 896,021,107,011,687,940,096/21,283,352,774
  6. Step 6: Final answer
    x = 42,099,622,015.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.