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Finding the Third Proportional to 9,352,940,588 and 20,352,375,736

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Solution

The third proportional to 9,352,940,588 and 20,352,375,736 is: 44,287,590,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352,940,588 : 20,352,375,736 = 20,352,375,736 : x
  2. Step 2: Convert to fraction form
    9,352,940,588/20,352,375,736 = 20,352,375,736/x
  3. Step 3: Cross multiply
    9,352,940,588x = 20,352,375,736 × 20,352,375,736
  4. Step 4: Simplify right side
    9,352,940,588x = 414,219,198,099,321,520,128
  5. Step 5: Solve for x
    x = 414,219,198,099,321,520,128/9,352,940,588
  6. Step 6: Final answer
    x = 44,287,590,004.66

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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.