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Finding the Third Proportional to 7,494,738,738 and 16,665,194,052

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Solution

The third proportional to 7,494,738,738 and 16,665,194,052 is: 37,056,487,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494,738,738 : 16,665,194,052 = 16,665,194,052 : x
  2. Step 2: Convert to fraction form
    7,494,738,738/16,665,194,052 = 16,665,194,052/x
  3. Step 3: Cross multiply
    7,494,738,738x = 16,665,194,052 × 16,665,194,052
  4. Step 4: Simplify right side
    7,494,738,738x = 277,728,692,790,816,178,176
  5. Step 5: Solve for x
    x = 277,728,692,790,816,178,176/7,494,738,738
  6. Step 6: Final answer
    x = 37,056,487,557.42

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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.