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Finding the Third Proportional to 37,367,097 and 80,496,498

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Solution

The third proportional to 37,367,097 and 80,496,498 is: 173,406,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,367,097 : 80,496,498 = 80,496,498 : x
  2. Step 2: Convert to fraction form
    37,367,097/80,496,498 = 80,496,498/x
  3. Step 3: Cross multiply
    37,367,097x = 80,496,498 × 80,496,498
  4. Step 4: Simplify right side
    37,367,097x = 6,479,686,190,264,004
  5. Step 5: Solve for x
    x = 6,479,686,190,264,004/37,367,097
  6. Step 6: Final answer
    x = 173,406,197.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.