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Finding the Third Proportional to 18,080,145 and 27,283,243.50

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Solution

The third proportional to 18,080,145 and 27,283,243.50 is: 41,170,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,080,145 : 27,283,243.50 = 27,283,243.50 : x
  2. Step 2: Convert to fraction form
    18,080,145/27,283,243.50 = 27,283,243.50/x
  3. Step 3: Cross multiply
    18,080,145x = 27,283,243.50 × 27,283,243.50
  4. Step 4: Simplify right side
    18,080,145x = 744,375,375,880,292.25
  5. Step 5: Solve for x
    x = 744,375,375,880,292.25/18,080,145
  6. Step 6: Final answer
    x = 41,170,874.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.