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Finding the Third Proportional to 30,485,060,910 and 65,381,005,980

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Solution

The third proportional to 30,485,060,910 and 65,381,005,980 is: 140,221,991,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485,060,910 : 65,381,005,980 = 65,381,005,980 : x
  2. Step 2: Convert to fraction form
    30,485,060,910/65,381,005,980 = 65,381,005,980/x
  3. Step 3: Cross multiply
    30,485,060,910x = 65,381,005,980 × 65,381,005,980
  4. Step 4: Simplify right side
    30,485,060,910x = 4,274,675,942,956,795,953,152
  5. Step 5: Solve for x
    x = 4,274,675,942,956,795,953,152/30,485,060,910
  6. Step 6: Final answer
    x = 140,221,991,209.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.