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Finding the Third Proportional to 7,661,642 and 16,485,676

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Solution

The third proportional to 7,661,642 and 16,485,676 is: 35,472,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,642 : 16,485,676 = 16,485,676 : x
  2. Step 2: Convert to fraction form
    7,661,642/16,485,676 = 16,485,676/x
  3. Step 3: Cross multiply
    7,661,642x = 16,485,676 × 16,485,676
  4. Step 4: Simplify right side
    7,661,642x = 271,777,513,176,976
  5. Step 5: Solve for x
    x = 271,777,513,176,976/7,661,642
  6. Step 6: Final answer
    x = 35,472,489.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.