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Finding the Third Proportional to 8,238,100 and 17,049,032

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Solution

The third proportional to 8,238,100 and 17,049,032 is: 35,283,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238,100 : 17,049,032 = 17,049,032 : x
  2. Step 2: Convert to fraction form
    8,238,100/17,049,032 = 17,049,032/x
  3. Step 3: Cross multiply
    8,238,100x = 17,049,032 × 17,049,032
  4. Step 4: Simplify right side
    8,238,100x = 290,669,492,137,024
  5. Step 5: Solve for x
    x = 290,669,492,137,024/8,238,100
  6. Step 6: Final answer
    x = 35,283,559.58

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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.