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Finding the Third Proportional to 735,541,608 and 1,600,222,368

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Solution

The third proportional to 735,541,608 and 1,600,222,368 is: 3,481,396,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,541,608 : 1,600,222,368 = 1,600,222,368 : x
  2. Step 2: Convert to fraction form
    735,541,608/1,600,222,368 = 1,600,222,368/x
  3. Step 3: Cross multiply
    735,541,608x = 1,600,222,368 × 1,600,222,368
  4. Step 4: Simplify right side
    735,541,608x = 2,560,711,627,047,527,424
  5. Step 5: Solve for x
    x = 2,560,711,627,047,527,424/735,541,608
  6. Step 6: Final answer
    x = 3,481,396,020.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.