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Finding the Third Proportional to 735,530,771.81 and 1,569,257,757.56

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Solution

The third proportional to 735,530,771.81 and 1,569,257,757.56 is: 3,348,017,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,530,771.81 : 1,569,257,757.56 = 1,569,257,757.56 : x
  2. Step 2: Convert to fraction form
    735,530,771.81/1,569,257,757.56 = 1,569,257,757.56/x
  3. Step 3: Cross multiply
    735,530,771.81x = 1,569,257,757.56 × 1,569,257,757.56
  4. Step 4: Simplify right side
    735,530,771.81x = 2,462,569,909,670,086,144
  5. Step 5: Solve for x
    x = 2,462,569,909,670,086,144/735,530,771.81
  6. Step 6: Final answer
    x = 3,348,017,518.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.