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Finding the Third Proportional to 2,129,302,836 and 4,659,328,812

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Solution

The third proportional to 2,129,302,836 and 4,659,328,812 is: 10,195,517,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,302,836 : 4,659,328,812 = 4,659,328,812 : x
  2. Step 2: Convert to fraction form
    2,129,302,836/4,659,328,812 = 4,659,328,812/x
  3. Step 3: Cross multiply
    2,129,302,836x = 4,659,328,812 × 4,659,328,812
  4. Step 4: Simplify right side
    2,129,302,836x = 21,709,344,978,333,331,456
  5. Step 5: Solve for x
    x = 21,709,344,978,333,331,456/2,129,302,836
  6. Step 6: Final answer
    x = 10,195,517,805.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.