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Finding the Third Proportional to 147,370,669,326 and 226,379,375,910

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Solution

The third proportional to 147,370,669,326 and 226,379,375,910 is: 347,746,414,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,370,669,326 : 226,379,375,910 = 226,379,375,910 : x
  2. Step 2: Convert to fraction form
    147,370,669,326/226,379,375,910 = 226,379,375,910/x
  3. Step 3: Cross multiply
    147,370,669,326x = 226,379,375,910 × 226,379,375,910
  4. Step 4: Simplify right side
    147,370,669,326x = 51,247,621,837,401,091,997,696
  5. Step 5: Solve for x
    x = 51,247,621,837,401,091,997,696/147,370,669,326
  6. Step 6: Final answer
    x = 347,746,414,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.