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Finding the Third Proportional to 5,702,941.69 and 8,836,183.69

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Solution

The third proportional to 5,702,941.69 and 8,836,183.69 is: 13,690,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,941.69 : 8,836,183.69 = 8,836,183.69 : x
  2. Step 2: Convert to fraction form
    5,702,941.69/8,836,183.69 = 8,836,183.69/x
  3. Step 3: Cross multiply
    5,702,941.69x = 8,836,183.69 × 8,836,183.69
  4. Step 4: Simplify right side
    5,702,941.69x = 78,078,142,159,241.09
  5. Step 5: Solve for x
    x = 78,078,142,159,241.09/5,702,941.69
  6. Step 6: Final answer
    x = 13,690,854.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.