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Finding the Third Proportional to 65,379,954,978.32 and 101,512,172,601.60

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Solution

The third proportional to 65,379,954,978.32 and 101,512,172,601.60 is: 157,612,852,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,379,954,978.32 : 101,512,172,601.60 = 101,512,172,601.60 : x
  2. Step 2: Convert to fraction form
    65,379,954,978.32/101,512,172,601.60 = 101,512,172,601.60/x
  3. Step 3: Cross multiply
    65,379,954,978.32x = 101,512,172,601.60 × 101,512,172,601.60
  4. Step 4: Simplify right side
    65,379,954,978.32x = 10,304,721,186,297,030,377,472
  5. Step 5: Solve for x
    x = 10,304,721,186,297,030,377,472/65,379,954,978.32
  6. Step 6: Final answer
    x = 157,612,852,283.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.