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Finding the Third Proportional to 75,605,422 and 164,894,912

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Solution

The third proportional to 75,605,422 and 164,894,912 is: 359,634,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605,422 : 164,894,912 = 164,894,912 : x
  2. Step 2: Convert to fraction form
    75,605,422/164,894,912 = 164,894,912/x
  3. Step 3: Cross multiply
    75,605,422x = 164,894,912 × 164,894,912
  4. Step 4: Simplify right side
    75,605,422x = 27,190,332,003,487,744
  5. Step 5: Solve for x
    x = 27,190,332,003,487,744/75,605,422
  6. Step 6: Final answer
    x = 359,634,683.39

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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.