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Finding the Third Proportional to 3,789,812,869 and 8,451,026,532

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Solution

The third proportional to 3,789,812,869 and 8,451,026,532 is: 18,845,217,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,812,869 : 8,451,026,532 = 8,451,026,532 : x
  2. Step 2: Convert to fraction form
    3,789,812,869/8,451,026,532 = 8,451,026,532/x
  3. Step 3: Cross multiply
    3,789,812,869x = 8,451,026,532 × 8,451,026,532
  4. Step 4: Simplify right side
    3,789,812,869x = 71,419,849,444,567,949,312
  5. Step 5: Solve for x
    x = 71,419,849,444,567,949,312/3,789,812,869
  6. Step 6: Final answer
    x = 18,845,217,933.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.