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Finding the Third Proportional to 600,973,975.13 and 1,324,214,325

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Solution

The third proportional to 600,973,975.13 and 1,324,214,325 is: 2,917,836,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,973,975.13 : 1,324,214,325 = 1,324,214,325 : x
  2. Step 2: Convert to fraction form
    600,973,975.13/1,324,214,325 = 1,324,214,325/x
  3. Step 3: Cross multiply
    600,973,975.13x = 1,324,214,325 × 1,324,214,325
  4. Step 4: Simplify right side
    600,973,975.13x = 1,753,543,578,535,205,632
  5. Step 5: Solve for x
    x = 1,753,543,578,535,205,632/600,973,975.13
  6. Step 6: Final answer
    x = 2,917,836,131.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.