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Finding the Third Proportional to 726,736,623.75 and 1,594,171,023.75

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Solution

The third proportional to 726,736,623.75 and 1,594,171,023.75 is: 3,496,976,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,736,623.75 : 1,594,171,023.75 = 1,594,171,023.75 : x
  2. Step 2: Convert to fraction form
    726,736,623.75/1,594,171,023.75 = 1,594,171,023.75/x
  3. Step 3: Cross multiply
    726,736,623.75x = 1,594,171,023.75 × 1,594,171,023.75
  4. Step 4: Simplify right side
    726,736,623.75x = 2,541,381,252,964,123,136
  5. Step 5: Solve for x
    x = 2,541,381,252,964,123,136/726,736,623.75
  6. Step 6: Final answer
    x = 3,496,976,992.64

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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.