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Finding the Third Proportional to 7,624,971 and 16,785,216

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Solution

The third proportional to 7,624,971 and 16,785,216 is: 36,950,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624,971 : 16,785,216 = 16,785,216 : x
  2. Step 2: Convert to fraction form
    7,624,971/16,785,216 = 16,785,216/x
  3. Step 3: Cross multiply
    7,624,971x = 16,785,216 × 16,785,216
  4. Step 4: Simplify right side
    7,624,971x = 281,743,476,166,656
  5. Step 5: Solve for x
    x = 281,743,476,166,656/7,624,971
  6. Step 6: Final answer
    x = 36,950,104.62

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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.