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Finding the Third Proportional to 371,355,910,758 and 557,426,919,790

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Solution

The third proportional to 371,355,910,758 and 557,426,919,790 is: 836,730,376,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,355,910,758 : 557,426,919,790 = 557,426,919,790 : x
  2. Step 2: Convert to fraction form
    371,355,910,758/557,426,919,790 = 557,426,919,790/x
  3. Step 3: Cross multiply
    371,355,910,758x = 557,426,919,790 × 557,426,919,790
  4. Step 4: Simplify right side
    371,355,910,758x = 310,724,770,906,567,107,149,824
  5. Step 5: Solve for x
    x = 310,724,770,906,567,107,149,824/371,355,910,758
  6. Step 6: Final answer
    x = 836,730,376,183.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.