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Finding the Third Proportional to 193,370,872,406 and 416,128,315,096

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Solution

The third proportional to 193,370,872,406 and 416,128,315,096 is: 895,495,647,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,370,872,406 : 416,128,315,096 = 416,128,315,096 : x
  2. Step 2: Convert to fraction form
    193,370,872,406/416,128,315,096 = 416,128,315,096/x
  3. Step 3: Cross multiply
    193,370,872,406x = 416,128,315,096 × 416,128,315,096
  4. Step 4: Simplify right side
    193,370,872,406x = 173,162,774,624,635,858,190,336
  5. Step 5: Solve for x
    x = 173,162,774,624,635,858,190,336/193,370,872,406
  6. Step 6: Final answer
    x = 895,495,647,664.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.