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Finding the Third Proportional to 20,658,647,206 and 44,189,437,774

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Solution

The third proportional to 20,658,647,206 and 44,189,437,774 is: 94,522,472,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658,647,206 : 44,189,437,774 = 44,189,437,774 : x
  2. Step 2: Convert to fraction form
    20,658,647,206/44,189,437,774 = 44,189,437,774/x
  3. Step 3: Cross multiply
    20,658,647,206x = 44,189,437,774 × 44,189,437,774
  4. Step 4: Simplify right side
    20,658,647,206x = 1,952,706,410,782,217,994,240
  5. Step 5: Solve for x
    x = 1,952,706,410,782,217,994,240/20,658,647,206
  6. Step 6: Final answer
    x = 94,522,472,420.90

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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.