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Finding the Third Proportional to 1,194,443,777 and 1,854,552,866

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Solution

The third proportional to 1,194,443,777 and 1,854,552,866 is: 2,879,471,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,443,777 : 1,854,552,866 = 1,854,552,866 : x
  2. Step 2: Convert to fraction form
    1,194,443,777/1,854,552,866 = 1,854,552,866/x
  3. Step 3: Cross multiply
    1,194,443,777x = 1,854,552,866 × 1,854,552,866
  4. Step 4: Simplify right side
    1,194,443,777x = 3,439,366,332,788,813,824
  5. Step 5: Solve for x
    x = 3,439,366,332,788,813,824/1,194,443,777
  6. Step 6: Final answer
    x = 2,879,471,096.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.