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Finding the Third Proportional to 764,392,694,382 and 1,145,470,889,493

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Solution

The third proportional to 764,392,694,382 and 1,145,470,889,493 is: 1,716,530,741,750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,392,694,382 : 1,145,470,889,493 = 1,145,470,889,493 : x
  2. Step 2: Convert to fraction form
    764,392,694,382/1,145,470,889,493 = 1,145,470,889,493/x
  3. Step 3: Cross multiply
    764,392,694,382x = 1,145,470,889,493 × 1,145,470,889,493
  4. Step 4: Simplify right side
    764,392,694,382x = 1,312,103,558,675,884,677,267,456
  5. Step 5: Solve for x
    x = 1,312,103,558,675,884,677,267,456/764,392,694,382
  6. Step 6: Final answer
    x = 1,716,530,741,750.09

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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.