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Finding the Third Proportional to 7,624,968 and 16,785,211

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Solution

The third proportional to 7,624,968 and 16,785,211 is: 36,950,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624,968 : 16,785,211 = 16,785,211 : x
  2. Step 2: Convert to fraction form
    7,624,968/16,785,211 = 16,785,211/x
  3. Step 3: Cross multiply
    7,624,968x = 16,785,211 × 16,785,211
  4. Step 4: Simplify right side
    7,624,968x = 281,743,308,314,521
  5. Step 5: Solve for x
    x = 281,743,308,314,521/7,624,968
  6. Step 6: Final answer
    x = 36,950,097.14

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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.