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Finding the Third Proportional to 75,605,412 and 164,894,892

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Solution

The third proportional to 75,605,412 and 164,894,892 is: 359,634,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605,412 : 164,894,892 = 164,894,892 : x
  2. Step 2: Convert to fraction form
    75,605,412/164,894,892 = 164,894,892/x
  3. Step 3: Cross multiply
    75,605,412x = 164,894,892 × 164,894,892
  4. Step 4: Simplify right side
    75,605,412x = 27,190,325,407,691,664
  5. Step 5: Solve for x
    x = 27,190,325,407,691,664/75,605,412
  6. Step 6: Final answer
    x = 359,634,643.72

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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.