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Finding the Third Proportional to 994,101,006 and 2,162,738,622

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Solution

The third proportional to 994,101,006 and 2,162,738,622 is: 4,705,194,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,101,006 : 2,162,738,622 = 2,162,738,622 : x
  2. Step 2: Convert to fraction form
    994,101,006/2,162,738,622 = 2,162,738,622/x
  3. Step 3: Cross multiply
    994,101,006x = 2,162,738,622 × 2,162,738,622
  4. Step 4: Simplify right side
    994,101,006x = 4,677,438,347,090,458,624
  5. Step 5: Solve for x
    x = 4,677,438,347,090,458,624/994,101,006
  6. Step 6: Final answer
    x = 4,705,194,259.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.