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Finding the Third Proportional to 3,437,942,536 and 7,365,990,096

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Solution

The third proportional to 3,437,942,536 and 7,365,990,096 is: 15,782,058,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,942,536 : 7,365,990,096 = 7,365,990,096 : x
  2. Step 2: Convert to fraction form
    3,437,942,536/7,365,990,096 = 7,365,990,096/x
  3. Step 3: Cross multiply
    3,437,942,536x = 7,365,990,096 × 7,365,990,096
  4. Step 4: Simplify right side
    3,437,942,536x = 54,257,810,094,370,086,912
  5. Step 5: Solve for x
    x = 54,257,810,094,370,086,912/3,437,942,536
  6. Step 6: Final answer
    x = 15,782,058,462.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.