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Finding the Third Proportional to 8,315,682,942 and 18,490,621,576

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Solution

The third proportional to 8,315,682,942 and 18,490,621,576 is: 41,115,454,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315,682,942 : 18,490,621,576 = 18,490,621,576 : x
  2. Step 2: Convert to fraction form
    8,315,682,942/18,490,621,576 = 18,490,621,576/x
  3. Step 3: Cross multiply
    8,315,682,942x = 18,490,621,576 × 18,490,621,576
  4. Step 4: Simplify right side
    8,315,682,942x = 341,903,086,266,836,713,472
  5. Step 5: Solve for x
    x = 341,903,086,266,836,713,472/8,315,682,942
  6. Step 6: Final answer
    x = 41,115,454,816.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.