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Finding the Third Proportional to 4,147,533 and 9,022,116

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Solution

The third proportional to 4,147,533 and 9,022,116 is: 19,625,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,533 : 9,022,116 = 9,022,116 : x
  2. Step 2: Convert to fraction form
    4,147,533/9,022,116 = 9,022,116/x
  3. Step 3: Cross multiply
    4,147,533x = 9,022,116 × 9,022,116
  4. Step 4: Simplify right side
    4,147,533x = 81,398,577,117,456
  5. Step 5: Solve for x
    x = 81,398,577,117,456/4,147,533
  6. Step 6: Final answer
    x = 19,625,781.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.