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Finding the Third Proportional to 3,698,029,832 and 8,193,404,896

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Solution

The third proportional to 3,698,029,832 and 8,193,404,896 is: 18,153,418,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698,029,832 : 8,193,404,896 = 8,193,404,896 : x
  2. Step 2: Convert to fraction form
    3,698,029,832/8,193,404,896 = 8,193,404,896/x
  3. Step 3: Cross multiply
    3,698,029,832x = 8,193,404,896 × 8,193,404,896
  4. Step 4: Simplify right side
    3,698,029,832x = 67,131,883,789,796,769,792
  5. Step 5: Solve for x
    x = 67,131,883,789,796,769,792/3,698,029,832
  6. Step 6: Final answer
    x = 18,153,418,668.74

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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.