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Finding the Third Proportional to 7,667,996 and 16,413,136

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Solution

The third proportional to 7,667,996 and 16,413,136 is: 35,131,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667,996 : 16,413,136 = 16,413,136 : x
  2. Step 2: Convert to fraction form
    7,667,996/16,413,136 = 16,413,136/x
  3. Step 3: Cross multiply
    7,667,996x = 16,413,136 × 16,413,136
  4. Step 4: Simplify right side
    7,667,996x = 269,391,033,354,496
  5. Step 5: Solve for x
    x = 269,391,033,354,496/7,667,996
  6. Step 6: Final answer
    x = 35,131,869.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.