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Finding the Third Proportional to 3,846,154,611 and 8,334,246,021

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Solution

The third proportional to 3,846,154,611 and 8,334,246,021 is: 18,059,507,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,154,611 : 8,334,246,021 = 8,334,246,021 : x
  2. Step 2: Convert to fraction form
    3,846,154,611/8,334,246,021 = 8,334,246,021/x
  3. Step 3: Cross multiply
    3,846,154,611x = 8,334,246,021 × 8,334,246,021
  4. Step 4: Simplify right side
    3,846,154,611x = 69,459,656,738,554,331,136
  5. Step 5: Solve for x
    x = 69,459,656,738,554,331,136/3,846,154,611
  6. Step 6: Final answer
    x = 18,059,507,160.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.