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Finding the Third Proportional to 38,519,529,304 and 78,122,140,064

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Solution

The third proportional to 38,519,529,304 and 78,122,140,064 is: 158,440,896,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,519,529,304 : 78,122,140,064 = 78,122,140,064 : x
  2. Step 2: Convert to fraction form
    38,519,529,304/78,122,140,064 = 78,122,140,064/x
  3. Step 3: Cross multiply
    38,519,529,304x = 78,122,140,064 × 78,122,140,064
  4. Step 4: Simplify right side
    38,519,529,304x = 6,103,068,768,179,233,751,040
  5. Step 5: Solve for x
    x = 6,103,068,768,179,233,751,040/38,519,529,304
  6. Step 6: Final answer
    x = 158,440,896,824.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.