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Finding the Third Proportional to 735,541,610 and 1,600,222,372

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Solution

The third proportional to 735,541,610 and 1,600,222,372 is: 3,481,396,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,541,610 : 1,600,222,372 = 1,600,222,372 : x
  2. Step 2: Convert to fraction form
    735,541,610/1,600,222,372 = 1,600,222,372/x
  3. Step 3: Cross multiply
    735,541,610x = 1,600,222,372 × 1,600,222,372
  4. Step 4: Simplify right side
    735,541,610x = 2,560,711,639,849,306,624
  5. Step 5: Solve for x
    x = 2,560,711,639,849,306,624/735,541,610
  6. Step 6: Final answer
    x = 3,481,396,028.50

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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.