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Finding the Third Proportional to 16,213,966 and 35,419,748

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Solution

The third proportional to 16,213,966 and 35,419,748 is: 77,375,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213,966 : 35,419,748 = 35,419,748 : x
  2. Step 2: Convert to fraction form
    16,213,966/35,419,748 = 35,419,748/x
  3. Step 3: Cross multiply
    16,213,966x = 35,419,748 × 35,419,748
  4. Step 4: Simplify right side
    16,213,966x = 1,254,558,548,383,504
  5. Step 5: Solve for x
    x = 1,254,558,548,383,504/16,213,966
  6. Step 6: Final answer
    x = 77,375,180.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.