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Finding the Third Proportional to 8,238,096 and 17,049,024

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Solution

The third proportional to 8,238,096 and 17,049,024 is: 35,283,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238,096 : 17,049,024 = 17,049,024 : x
  2. Step 2: Convert to fraction form
    8,238,096/17,049,024 = 17,049,024/x
  3. Step 3: Cross multiply
    8,238,096x = 17,049,024 × 17,049,024
  4. Step 4: Simplify right side
    8,238,096x = 290,669,219,352,576
  5. Step 5: Solve for x
    x = 290,669,219,352,576/8,238,096
  6. Step 6: Final answer
    x = 35,283,543.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.