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Finding the Third Proportional to 3,205,305,799.50 and 6,962,386,947

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Solution

The third proportional to 3,205,305,799.50 and 6,962,386,947 is: 15,123,309,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,305,799.50 : 6,962,386,947 = 6,962,386,947 : x
  2. Step 2: Convert to fraction form
    3,205,305,799.50/6,962,386,947 = 6,962,386,947/x
  3. Step 3: Cross multiply
    3,205,305,799.50x = 6,962,386,947 × 6,962,386,947
  4. Step 4: Simplify right side
    3,205,305,799.50x = 48,474,831,999,755,984,896
  5. Step 5: Solve for x
    x = 48,474,831,999,755,984,896/3,205,305,799.50
  6. Step 6: Final answer
    x = 15,123,309,609.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.