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Finding the Third Proportional to 7,739,715 and 16,822,734

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Solution

The third proportional to 7,739,715 and 16,822,734 is: 36,565,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739,715 : 16,822,734 = 16,822,734 : x
  2. Step 2: Convert to fraction form
    7,739,715/16,822,734 = 16,822,734/x
  3. Step 3: Cross multiply
    7,739,715x = 16,822,734 × 16,822,734
  4. Step 4: Simplify right side
    7,739,715x = 283,004,379,234,756
  5. Step 5: Solve for x
    x = 283,004,379,234,756/7,739,715
  6. Step 6: Final answer
    x = 36,565,219.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.