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Finding the Third Proportional to 4,080,469.50 and 6,552,262.13

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Solution

The third proportional to 4,080,469.50 and 6,552,262.13 is: 10,521,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080,469.50 : 6,552,262.13 = 6,552,262.13 : x
  2. Step 2: Convert to fraction form
    4,080,469.50/6,552,262.13 = 6,552,262.13/x
  3. Step 3: Cross multiply
    4,080,469.50x = 6,552,262.13 × 6,552,262.13
  4. Step 4: Simplify right side
    4,080,469.50x = 42,932,138,954,709.52
  5. Step 5: Solve for x
    x = 42,932,138,954,709.52/4,080,469.50
  6. Step 6: Final answer
    x = 10,521,372.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.