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Finding the Third Proportional to 740,508,809 and 1,542,309,097

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Solution

The third proportional to 740,508,809 and 1,542,309,097 is: 3,212,274,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,508,809 : 1,542,309,097 = 1,542,309,097 : x
  2. Step 2: Convert to fraction form
    740,508,809/1,542,309,097 = 1,542,309,097/x
  3. Step 3: Cross multiply
    740,508,809x = 1,542,309,097 × 1,542,309,097
  4. Step 4: Simplify right side
    740,508,809x = 2,378,717,350,688,955,392
  5. Step 5: Solve for x
    x = 2,378,717,350,688,955,392/740,508,809
  6. Step 6: Final answer
    x = 3,212,274,211.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.