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Finding the Third Proportional to 5,477,649.05 and 8,548,105.92

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Solution

The third proportional to 5,477,649.05 and 8,548,105.92 is: 13,339,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,649.05 : 8,548,105.92 = 8,548,105.92 : x
  2. Step 2: Convert to fraction form
    5,477,649.05/8,548,105.92 = 8,548,105.92/x
  3. Step 3: Cross multiply
    5,477,649.05x = 8,548,105.92 × 8,548,105.92
  4. Step 4: Simplify right side
    5,477,649.05x = 73,070,114,851,594.44
  5. Step 5: Solve for x
    x = 73,070,114,851,594.44/5,477,649.05
  6. Step 6: Final answer
    x = 13,339,685.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.