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Finding the Third Proportional to 8,080,240 and 17,442,427

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Solution

The third proportional to 8,080,240 and 17,442,427 is: 37,652,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080,240 : 17,442,427 = 17,442,427 : x
  2. Step 2: Convert to fraction form
    8,080,240/17,442,427 = 17,442,427/x
  3. Step 3: Cross multiply
    8,080,240x = 17,442,427 × 17,442,427
  4. Step 4: Simplify right side
    8,080,240x = 304,238,259,650,329
  5. Step 5: Solve for x
    x = 304,238,259,650,329/8,080,240
  6. Step 6: Final answer
    x = 37,652,131.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.