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Finding the Third Proportional to 735,541,628 and 1,600,222,408

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Solution

The third proportional to 735,541,628 and 1,600,222,408 is: 3,481,396,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,541,628 : 1,600,222,408 = 1,600,222,408 : x
  2. Step 2: Convert to fraction form
    735,541,628/1,600,222,408 = 1,600,222,408/x
  3. Step 3: Cross multiply
    735,541,628x = 1,600,222,408 × 1,600,222,408
  4. Step 4: Simplify right side
    735,541,628x = 2,560,711,755,065,318,400
  5. Step 5: Solve for x
    x = 2,560,711,755,065,318,400/735,541,628
  6. Step 6: Final answer
    x = 3,481,396,099.94

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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.