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Finding the Third Proportional to 6,338,156,191,850 and 13,728,770,663,044

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Solution

The third proportional to 6,338,156,191,850 and 13,728,770,663,044 is: 29,737,219,818,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338,156,191,850 : 13,728,770,663,044 = 13,728,770,663,044 : x
  2. Step 2: Convert to fraction form
    6,338,156,191,850/13,728,770,663,044 = 13,728,770,663,044/x
  3. Step 3: Cross multiply
    6,338,156,191,850x = 13,728,770,663,044 × 13,728,770,663,044
  4. Step 4: Simplify right side
    6,338,156,191,850x = 188,479,143,918,457,589,405,319,168
  5. Step 5: Solve for x
    x = 188,479,143,918,457,589,405,319,168/6,338,156,191,850
  6. Step 6: Final answer
    x = 29,737,219,818,094.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.