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Finding the Third Proportional to 9,659,106 and 20,111,364

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Solution

The third proportional to 9,659,106 and 20,111,364 is: 41,874,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,106 : 20,111,364 = 20,111,364 : x
  2. Step 2: Convert to fraction form
    9,659,106/20,111,364 = 20,111,364/x
  3. Step 3: Cross multiply
    9,659,106x = 20,111,364 × 20,111,364
  4. Step 4: Simplify right side
    9,659,106x = 404,466,961,940,496
  5. Step 5: Solve for x
    x = 404,466,961,940,496/9,659,106
  6. Step 6: Final answer
    x = 41,874,161.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.