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Finding the Third Proportional to 543,212,072 and 861,568,068

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Solution

The third proportional to 543,212,072 and 861,568,068 is: 1,366,500,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,212,072 : 861,568,068 = 861,568,068 : x
  2. Step 2: Convert to fraction form
    543,212,072/861,568,068 = 861,568,068/x
  3. Step 3: Cross multiply
    543,212,072x = 861,568,068 × 861,568,068
  4. Step 4: Simplify right side
    543,212,072x = 742,299,535,797,252,608
  5. Step 5: Solve for x
    x = 742,299,535,797,252,608/543,212,072
  6. Step 6: Final answer
    x = 1,366,500,440.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.