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Finding the Third Proportional to 33,971,505 and 51,945,264

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Solution

The third proportional to 33,971,505 and 51,945,264 is: 79,428,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971,505 : 51,945,264 = 51,945,264 : x
  2. Step 2: Convert to fraction form
    33,971,505/51,945,264 = 51,945,264/x
  3. Step 3: Cross multiply
    33,971,505x = 51,945,264 × 51,945,264
  4. Step 4: Simplify right side
    33,971,505x = 2,698,310,452,029,696
  5. Step 5: Solve for x
    x = 2,698,310,452,029,696/33,971,505
  6. Step 6: Final answer
    x = 79,428,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.