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Finding the Third Proportional to 36,238,994,151,168 and 79,494,044,197,236

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Solution

The third proportional to 36,238,994,151,168 and 79,494,044,197,236 is: 174,378,544,737,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238,994,151,168 : 79,494,044,197,236 = 79,494,044,197,236 : x
  2. Step 2: Convert to fraction form
    36,238,994,151,168/79,494,044,197,236 = 79,494,044,197,236/x
  3. Step 3: Cross multiply
    36,238,994,151,168x = 79,494,044,197,236 × 79,494,044,197,236
  4. Step 4: Simplify right side
    36,238,994,151,168x = 6,319,303,062,832,110,133,200,289,792
  5. Step 5: Solve for x
    x = 6,319,303,062,832,110,133,200,289,792/36,238,994,151,168
  6. Step 6: Final answer
    x = 174,378,544,737,518.22

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