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Finding the Third Proportional to 4,475,736 and 9,659,088

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Solution

The third proportional to 4,475,736 and 9,659,088 is: 20,845,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,736 : 9,659,088 = 9,659,088 : x
  2. Step 2: Convert to fraction form
    4,475,736/9,659,088 = 9,659,088/x
  3. Step 3: Cross multiply
    4,475,736x = 9,659,088 × 9,659,088
  4. Step 4: Simplify right side
    4,475,736x = 93,297,980,991,744
  5. Step 5: Solve for x
    x = 93,297,980,991,744/4,475,736
  6. Step 6: Final answer
    x = 20,845,282.43

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Why These Related Problems?

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