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Finding the Third Proportional to 7,955,778,733 and 17,324,028,175

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Solution

The third proportional to 7,955,778,733 and 17,324,028,175 is: 37,723,768,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955,778,733 : 17,324,028,175 = 17,324,028,175 : x
  2. Step 2: Convert to fraction form
    7,955,778,733/17,324,028,175 = 17,324,028,175/x
  3. Step 3: Cross multiply
    7,955,778,733x = 17,324,028,175 × 17,324,028,175
  4. Step 4: Simplify right side
    7,955,778,733x = 300,121,952,208,193,847,296
  5. Step 5: Solve for x
    x = 300,121,952,208,193,847,296/7,955,778,733
  6. Step 6: Final answer
    x = 37,723,768,128.86

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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.