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Finding the Third Proportional to 7,676,593 and 16,416,063

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Solution

The third proportional to 7,676,593 and 16,416,063 is: 35,105,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,593 : 16,416,063 = 16,416,063 : x
  2. Step 2: Convert to fraction form
    7,676,593/16,416,063 = 16,416,063/x
  3. Step 3: Cross multiply
    7,676,593x = 16,416,063 × 16,416,063
  4. Step 4: Simplify right side
    7,676,593x = 269,487,124,419,969
  5. Step 5: Solve for x
    x = 269,487,124,419,969/7,676,593
  6. Step 6: Final answer
    x = 35,105,042.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.