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Finding the Third Proportional to 7,625,544 and 16,762,416

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Solution

The third proportional to 7,625,544 and 16,762,416 is: 36,847,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625,544 : 16,762,416 = 16,762,416 : x
  2. Step 2: Convert to fraction form
    7,625,544/16,762,416 = 16,762,416/x
  3. Step 3: Cross multiply
    7,625,544x = 16,762,416 × 16,762,416
  4. Step 4: Simplify right side
    7,625,544x = 280,978,590,157,056
  5. Step 5: Solve for x
    x = 280,978,590,157,056/7,625,544
  6. Step 6: Final answer
    x = 36,847,022.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.