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Finding the Third Proportional to 3,796,139,734,182 and 8,317,522,098,576

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Solution

The third proportional to 3,796,139,734,182 and 8,317,522,098,576 is: 18,224,085,177,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796,139,734,182 : 8,317,522,098,576 = 8,317,522,098,576 : x
  2. Step 2: Convert to fraction form
    3,796,139,734,182/8,317,522,098,576 = 8,317,522,098,576/x
  3. Step 3: Cross multiply
    3,796,139,734,182x = 8,317,522,098,576 × 8,317,522,098,576
  4. Step 4: Simplify right side
    3,796,139,734,182x = 69,181,173,860,300,104,572,862,464
  5. Step 5: Solve for x
    x = 69,181,173,860,300,104,572,862,464/3,796,139,734,182
  6. Step 6: Final answer
    x = 18,224,085,177,203.68

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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.