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Finding the Third Proportional to 3,322,416 and 7,273,824

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Solution

The third proportional to 3,322,416 and 7,273,824 is: 15,924,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322,416 : 7,273,824 = 7,273,824 : x
  2. Step 2: Convert to fraction form
    3,322,416/7,273,824 = 7,273,824/x
  3. Step 3: Cross multiply
    3,322,416x = 7,273,824 × 7,273,824
  4. Step 4: Simplify right side
    3,322,416x = 52,908,515,582,976
  5. Step 5: Solve for x
    x = 52,908,515,582,976/3,322,416
  6. Step 6: Final answer
    x = 15,924,711.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.