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Finding the Third Proportional to 726,736,612.50 and 1,594,170,998.44

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Solution

The third proportional to 726,736,612.50 and 1,594,170,998.44 is: 3,496,976,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,736,612.50 : 1,594,170,998.44 = 1,594,170,998.44 : x
  2. Step 2: Convert to fraction form
    726,736,612.50/1,594,170,998.44 = 1,594,170,998.44/x
  3. Step 3: Cross multiply
    726,736,612.50x = 1,594,170,998.44 × 1,594,170,998.44
  4. Step 4: Simplify right side
    726,736,612.50x = 2,541,381,172,259,215,872
  5. Step 5: Solve for x
    x = 2,541,381,172,259,215,872/726,736,612.50
  6. Step 6: Final answer
    x = 3,496,976,935.72

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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.