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Finding the Third Proportional to 892,136,945 and 1,932,519,442

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Solution

The third proportional to 892,136,945 and 1,932,519,442 is: 4,186,163,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,136,945 : 1,932,519,442 = 1,932,519,442 : x
  2. Step 2: Convert to fraction form
    892,136,945/1,932,519,442 = 1,932,519,442/x
  3. Step 3: Cross multiply
    892,136,945x = 1,932,519,442 × 1,932,519,442
  4. Step 4: Simplify right side
    892,136,945x = 3,734,631,393,707,991,552
  5. Step 5: Solve for x
    x = 3,734,631,393,707,991,552/892,136,945
  6. Step 6: Final answer
    x = 4,186,163,811.10

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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.