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Finding the Third Proportional to 43,723,836 and 65,344,734

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Solution

The third proportional to 43,723,836 and 65,344,734 is: 97,656,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,723,836 : 65,344,734 = 65,344,734 : x
  2. Step 2: Convert to fraction form
    43,723,836/65,344,734 = 65,344,734/x
  3. Step 3: Cross multiply
    43,723,836x = 65,344,734 × 65,344,734
  4. Step 4: Simplify right side
    43,723,836x = 4,269,934,261,530,756
  5. Step 5: Solve for x
    x = 4,269,934,261,530,756/43,723,836
  6. Step 6: Final answer
    x = 97,656,899.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.