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Finding the Third Proportional to 36,623,379,786 and 78,545,797,238

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Solution

The third proportional to 36,623,379,786 and 78,545,797,238 is: 168,456,387,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,623,379,786 : 78,545,797,238 = 78,545,797,238 : x
  2. Step 2: Convert to fraction form
    36,623,379,786/78,545,797,238 = 78,545,797,238/x
  3. Step 3: Cross multiply
    36,623,379,786x = 78,545,797,238 × 78,545,797,238
  4. Step 4: Simplify right side
    36,623,379,786x = 6,169,442,263,753,008,611,328
  5. Step 5: Solve for x
    x = 6,169,442,263,753,008,611,328/36,623,379,786
  6. Step 6: Final answer
    x = 168,456,387,690.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.