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Finding the Third Proportional to 78,664,361,884 and 173,019,253,568

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Solution

The third proportional to 78,664,361,884 and 173,019,253,568 is: 380,549,226,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,664,361,884 : 173,019,253,568 = 173,019,253,568 : x
  2. Step 2: Convert to fraction form
    78,664,361,884/173,019,253,568 = 173,019,253,568/x
  3. Step 3: Cross multiply
    78,664,361,884x = 173,019,253,568 × 173,019,253,568
  4. Step 4: Simplify right side
    78,664,361,884x = 29,935,662,105,227,878,727,680
  5. Step 5: Solve for x
    x = 29,935,662,105,227,878,727,680/78,664,361,884
  6. Step 6: Final answer
    x = 380,549,226,972.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.