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Finding the Third Proportional to 4,550,082 and 6,853,965

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Solution

The third proportional to 4,550,082 and 6,853,965 is: 10,324,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550,082 : 6,853,965 = 6,853,965 : x
  2. Step 2: Convert to fraction form
    4,550,082/6,853,965 = 6,853,965/x
  3. Step 3: Cross multiply
    4,550,082x = 6,853,965 × 6,853,965
  4. Step 4: Simplify right side
    4,550,082x = 46,976,836,221,225
  5. Step 5: Solve for x
    x = 46,976,836,221,225/4,550,082
  6. Step 6: Final answer
    x = 10,324,393.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.