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Finding the Third Proportional to 173,312,855,907 and 377,393,857,383

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Solution

The third proportional to 173,312,855,907 and 377,393,857,383 is: 821,786,259,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,312,855,907 : 377,393,857,383 = 377,393,857,383 : x
  2. Step 2: Convert to fraction form
    173,312,855,907/377,393,857,383 = 377,393,857,383/x
  3. Step 3: Cross multiply
    173,312,855,907x = 377,393,857,383 × 377,393,857,383
  4. Step 4: Simplify right side
    173,312,855,907x = 142,426,123,590,420,135,936,000
  5. Step 5: Solve for x
    x = 142,426,123,590,420,135,936,000/173,312,855,907
  6. Step 6: Final answer
    x = 821,786,259,565.46

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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.