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Finding the Third Proportional to 36,878,945,182 and 79,351,263,391

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Solution

The third proportional to 36,878,945,182 and 79,351,263,391 is: 170,737,611,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878,945,182 : 79,351,263,391 = 79,351,263,391 : x
  2. Step 2: Convert to fraction form
    36,878,945,182/79,351,263,391 = 79,351,263,391/x
  3. Step 3: Cross multiply
    36,878,945,182x = 79,351,263,391 × 79,351,263,391
  4. Step 4: Simplify right side
    36,878,945,182x = 6,296,623,001,747,856,556,032
  5. Step 5: Solve for x
    x = 6,296,623,001,747,856,556,032/36,878,945,182
  6. Step 6: Final answer
    x = 170,737,611,140.28

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Why These Related Problems?

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