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Finding the Third Proportional to 38,337,199,817,062 and 77,741,177,000,147

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Solution

The third proportional to 38,337,199,817,062 and 77,741,177,000,147 is: 157,645,593,058,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337,199,817,062 : 77,741,177,000,147 = 77,741,177,000,147 : x
  2. Step 2: Convert to fraction form
    38,337,199,817,062/77,741,177,000,147 = 77,741,177,000,147/x
  3. Step 3: Cross multiply
    38,337,199,817,062x = 77,741,177,000,147 × 77,741,177,000,147
  4. Step 4: Simplify right side
    38,337,199,817,062x = 6,043,690,601,368,185,291,912,773,632
  5. Step 5: Solve for x
    x = 6,043,690,601,368,185,291,912,773,632/38,337,199,817,062
  6. Step 6: Final answer
    x = 157,645,593,058,636.38

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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.