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Finding the Third Proportional to 1,963,813,145.25 and 2,942,847,057

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Solution

The third proportional to 1,963,813,145.25 and 2,942,847,057 is: 4,409,965,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963,813,145.25 : 2,942,847,057 = 2,942,847,057 : x
  2. Step 2: Convert to fraction form
    1,963,813,145.25/2,942,847,057 = 2,942,847,057/x
  3. Step 3: Cross multiply
    1,963,813,145.25x = 2,942,847,057 × 2,942,847,057
  4. Step 4: Simplify right side
    1,963,813,145.25x = 8,660,348,800,893,560,832
  5. Step 5: Solve for x
    x = 8,660,348,800,893,560,832/1,963,813,145.25
  6. Step 6: Final answer
    x = 4,409,965,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.