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Finding the Third Proportional to 189,496,599,977 and 421,361,935,042

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Solution

The third proportional to 189,496,599,977 and 421,361,935,042 is: 936,934,384,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496,599,977 : 421,361,935,042 = 421,361,935,042 : x
  2. Step 2: Convert to fraction form
    189,496,599,977/421,361,935,042 = 421,361,935,042/x
  3. Step 3: Cross multiply
    189,496,599,977x = 421,361,935,042 × 421,361,935,042
  4. Step 4: Simplify right side
    189,496,599,977x = 177,545,880,302,338,638,348,288
  5. Step 5: Solve for x
    x = 177,545,880,302,338,638,348,288/189,496,599,977
  6. Step 6: Final answer
    x = 936,934,384,700.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.