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Finding the Third Proportional to 75,404,711 and 164,246,188

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Solution

The third proportional to 75,404,711 and 164,246,188 is: 357,760,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,404,711 : 164,246,188 = 164,246,188 : x
  2. Step 2: Convert to fraction form
    75,404,711/164,246,188 = 164,246,188/x
  3. Step 3: Cross multiply
    75,404,711x = 164,246,188 × 164,246,188
  4. Step 4: Simplify right side
    75,404,711x = 26,976,810,272,531,344
  5. Step 5: Solve for x
    x = 26,976,810,272,531,344/75,404,711
  6. Step 6: Final answer
    x = 357,760,276.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.