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Finding the Third Proportional to 77,973,203,913 and 170,894,381,916

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Solution

The third proportional to 77,973,203,913 and 170,894,381,916 is: 374,550,336,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973,203,913 : 170,894,381,916 = 170,894,381,916 : x
  2. Step 2: Convert to fraction form
    77,973,203,913/170,894,381,916 = 170,894,381,916/x
  3. Step 3: Cross multiply
    77,973,203,913x = 170,894,381,916 × 170,894,381,916
  4. Step 4: Simplify right side
    77,973,203,913x = 29,204,889,770,451,665,944,576
  5. Step 5: Solve for x
    x = 29,204,889,770,451,665,944,576/77,973,203,913
  6. Step 6: Final answer
    x = 374,550,336,587.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.