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Finding the Third Proportional to 7,677,504 and 16,801,344

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Solution

The third proportional to 7,677,504 and 16,801,344 is: 36,767,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,504 : 16,801,344 = 16,801,344 : x
  2. Step 2: Convert to fraction form
    7,677,504/16,801,344 = 16,801,344/x
  3. Step 3: Cross multiply
    7,677,504x = 16,801,344 × 16,801,344
  4. Step 4: Simplify right side
    7,677,504x = 282,285,160,206,336
  5. Step 5: Solve for x
    x = 282,285,160,206,336/7,677,504
  6. Step 6: Final answer
    x = 36,767,829.78

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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.