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Finding the Third Proportional to 1,162,846,177 and 1,787,377,945

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Solution

The third proportional to 1,162,846,177 and 1,787,377,945 is: 2,747,328,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,846,177 : 1,787,377,945 = 1,787,377,945 : x
  2. Step 2: Convert to fraction form
    1,162,846,177/1,787,377,945 = 1,787,377,945/x
  3. Step 3: Cross multiply
    1,162,846,177x = 1,787,377,945 × 1,787,377,945
  4. Step 4: Simplify right side
    1,162,846,177x = 3,194,719,918,272,422,912
  5. Step 5: Solve for x
    x = 3,194,719,918,272,422,912/1,162,846,177
  6. Step 6: Final answer
    x = 2,747,328,048.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.