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Finding the Third Proportional to 8,080,257 and 17,442,459

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Solution

The third proportional to 8,080,257 and 17,442,459 is: 37,652,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080,257 : 17,442,459 = 17,442,459 : x
  2. Step 2: Convert to fraction form
    8,080,257/17,442,459 = 17,442,459/x
  3. Step 3: Cross multiply
    8,080,257x = 17,442,459 × 17,442,459
  4. Step 4: Simplify right side
    8,080,257x = 304,239,375,966,681
  5. Step 5: Solve for x
    x = 304,239,375,966,681/8,080,257
  6. Step 6: Final answer
    x = 37,652,190.51

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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.