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Finding the Third Proportional to 6,338,156,191,848 and 13,728,770,663,040

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Solution

The third proportional to 6,338,156,191,848 and 13,728,770,663,040 is: 29,737,219,818,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338,156,191,848 : 13,728,770,663,040 = 13,728,770,663,040 : x
  2. Step 2: Convert to fraction form
    6,338,156,191,848/13,728,770,663,040 = 13,728,770,663,040/x
  3. Step 3: Cross multiply
    6,338,156,191,848x = 13,728,770,663,040 × 13,728,770,663,040
  4. Step 4: Simplify right side
    6,338,156,191,848x = 188,479,143,918,347,775,681,495,040
  5. Step 5: Solve for x
    x = 188,479,143,918,347,775,681,495,040/6,338,156,191,848
  6. Step 6: Final answer
    x = 29,737,219,818,086.15

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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.