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Finding the Third Proportional to 6,410,794 and 9,166,807

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Solution

The third proportional to 6,410,794 and 9,166,807 is: 13,107,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,794 : 9,166,807 = 9,166,807 : x
  2. Step 2: Convert to fraction form
    6,410,794/9,166,807 = 9,166,807/x
  3. Step 3: Cross multiply
    6,410,794x = 9,166,807 × 9,166,807
  4. Step 4: Simplify right side
    6,410,794x = 84,030,350,575,249
  5. Step 5: Solve for x
    x = 84,030,350,575,249/6,410,794
  6. Step 6: Final answer
    x = 13,107,635.43

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Why These Related Problems?

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