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Finding the Third Proportional to 77,840,128,328 and 169,948,383,640

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Solution

The third proportional to 77,840,128,328 and 169,948,383,640 is: 371,048,374,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,840,128,328 : 169,948,383,640 = 169,948,383,640 : x
  2. Step 2: Convert to fraction form
    77,840,128,328/169,948,383,640 = 169,948,383,640/x
  3. Step 3: Cross multiply
    77,840,128,328x = 169,948,383,640 × 169,948,383,640
  4. Step 4: Simplify right side
    77,840,128,328x = 28,882,453,101,848,618,336,256
  5. Step 5: Solve for x
    x = 28,882,453,101,848,618,336,256/77,840,128,328
  6. Step 6: Final answer
    x = 371,048,374,691.07

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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.