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Finding the Third Proportional to 8,283,744 and 17,797,056

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Solution

The third proportional to 8,283,744 and 17,797,056 is: 38,235,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283,744 : 17,797,056 = 17,797,056 : x
  2. Step 2: Convert to fraction form
    8,283,744/17,797,056 = 17,797,056/x
  3. Step 3: Cross multiply
    8,283,744x = 17,797,056 × 17,797,056
  4. Step 4: Simplify right side
    8,283,744x = 316,735,202,267,136
  5. Step 5: Solve for x
    x = 316,735,202,267,136/8,283,744
  6. Step 6: Final answer
    x = 38,235,754.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.