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Finding the Third Proportional to 6,340,704 and 13,715,616

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Solution

The third proportional to 6,340,704 and 13,715,616 is: 29,668,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340,704 : 13,715,616 = 13,715,616 : x
  2. Step 2: Convert to fraction form
    6,340,704/13,715,616 = 13,715,616/x
  3. Step 3: Cross multiply
    6,340,704x = 13,715,616 × 13,715,616
  4. Step 4: Simplify right side
    6,340,704x = 188,118,122,259,456
  5. Step 5: Solve for x
    x = 188,118,122,259,456/6,340,704
  6. Step 6: Final answer
    x = 29,668,333.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.