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Finding the Third Proportional to 5,663,942.82 and 8,389,741.11

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Solution

The third proportional to 5,663,942.82 and 8,389,741.11 is: 12,427,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,942.82 : 8,389,741.11 = 8,389,741.11 : x
  2. Step 2: Convert to fraction form
    5,663,942.82/8,389,741.11 = 8,389,741.11/x
  3. Step 3: Cross multiply
    5,663,942.82x = 8,389,741.11 × 8,389,741.11
  4. Step 4: Simplify right side
    5,663,942.82x = 70,387,755,947,880.86
  5. Step 5: Solve for x
    x = 70,387,755,947,880.86/5,663,942.82
  6. Step 6: Final answer
    x = 12,427,342.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.