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Finding the Third Proportional to 34,913,311,072 and 76,586,019,008

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Solution

The third proportional to 34,913,311,072 and 76,586,019,008 is: 167,999,485,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913,311,072 : 76,586,019,008 = 76,586,019,008 : x
  2. Step 2: Convert to fraction form
    34,913,311,072/76,586,019,008 = 76,586,019,008/x
  3. Step 3: Cross multiply
    34,913,311,072x = 76,586,019,008 × 76,586,019,008
  4. Step 4: Simplify right side
    34,913,311,072x = 5,865,418,307,493,737,529,344
  5. Step 5: Solve for x
    x = 5,865,418,307,493,737,529,344/34,913,311,072
  6. Step 6: Final answer
    x = 167,999,485,794.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.