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Finding the Third Proportional to 6,379,877,441,000 and 13,727,381,104,238

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Solution

The third proportional to 6,379,877,441,000 and 13,727,381,104,238 is: 29,536,773,037,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379,877,441,000 : 13,727,381,104,238 = 13,727,381,104,238 : x
  2. Step 2: Convert to fraction form
    6,379,877,441,000/13,727,381,104,238 = 13,727,381,104,238/x
  3. Step 3: Cross multiply
    6,379,877,441,000x = 13,727,381,104,238 × 13,727,381,104,238
  4. Step 4: Simplify right side
    6,379,877,441,000x = 188,440,991,980,990,502,623,248,384
  5. Step 5: Solve for x
    x = 188,440,991,980,990,502,623,248,384/6,379,877,441,000
  6. Step 6: Final answer
    x = 29,536,773,037,360.06

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