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Finding the Third Proportional to 7,624,207 and 16,741,406

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Solution

The third proportional to 7,624,207 and 16,741,406 is: 36,761,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624,207 : 16,741,406 = 16,741,406 : x
  2. Step 2: Convert to fraction form
    7,624,207/16,741,406 = 16,741,406/x
  3. Step 3: Cross multiply
    7,624,207x = 16,741,406 × 16,741,406
  4. Step 4: Simplify right side
    7,624,207x = 280,274,674,856,836
  5. Step 5: Solve for x
    x = 280,274,674,856,836/7,624,207
  6. Step 6: Final answer
    x = 36,761,157.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.