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Finding the Third Proportional to 37,085,324 and 80,554,843

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Solution

The third proportional to 37,085,324 and 80,554,843 is: 174,977,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,085,324 : 80,554,843 = 80,554,843 : x
  2. Step 2: Convert to fraction form
    37,085,324/80,554,843 = 80,554,843/x
  3. Step 3: Cross multiply
    37,085,324x = 80,554,843 × 80,554,843
  4. Step 4: Simplify right side
    37,085,324x = 6,489,082,730,754,649
  5. Step 5: Solve for x
    x = 6,489,082,730,754,649/37,085,324
  6. Step 6: Final answer
    x = 174,977,107.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.