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Finding the Third Proportional to 892,136,902.50 and 1,932,519,357

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Solution

The third proportional to 892,136,902.50 and 1,932,519,357 is: 4,186,163,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,136,902.50 : 1,932,519,357 = 1,932,519,357 : x
  2. Step 2: Convert to fraction form
    892,136,902.50/1,932,519,357 = 1,932,519,357/x
  3. Step 3: Cross multiply
    892,136,902.50x = 1,932,519,357 × 1,932,519,357
  4. Step 4: Simplify right side
    892,136,902.50x = 3,734,631,065,179,693,568
  5. Step 5: Solve for x
    x = 3,734,631,065,179,693,568/892,136,902.50
  6. Step 6: Final answer
    x = 4,186,163,642.28

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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.