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Finding the Third Proportional to 872,725,903,074 and 2,039,081,498,928

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Solution

The third proportional to 872,725,903,074 and 2,039,081,498,928 is: 4,764,214,451,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,725,903,074 : 2,039,081,498,928 = 2,039,081,498,928 : x
  2. Step 2: Convert to fraction form
    872,725,903,074/2,039,081,498,928 = 2,039,081,498,928/x
  3. Step 3: Cross multiply
    872,725,903,074x = 2,039,081,498,928 × 2,039,081,498,928
  4. Step 4: Simplify right side
    872,725,903,074x = 4,157,853,359,270,459,481,260,032
  5. Step 5: Solve for x
    x = 4,157,853,359,270,459,481,260,032/872,725,903,074
  6. Step 6: Final answer
    x = 4,764,214,451,095.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.