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Finding the Third Proportional to 6,410,706 and 9,166,695

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Solution

The third proportional to 6,410,706 and 9,166,695 is: 13,107,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,706 : 9,166,695 = 9,166,695 : x
  2. Step 2: Convert to fraction form
    6,410,706/9,166,695 = 9,166,695/x
  3. Step 3: Cross multiply
    6,410,706x = 9,166,695 × 9,166,695
  4. Step 4: Simplify right side
    6,410,706x = 84,028,297,223,025
  5. Step 5: Solve for x
    x = 84,028,297,223,025/6,410,706
  6. Step 6: Final answer
    x = 13,107,495.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.