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Finding the Third Proportional to 769,846,082 and 1,112,294,883

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Solution

The third proportional to 769,846,082 and 1,112,294,883 is: 1,607,074,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,846,082 : 1,112,294,883 = 1,112,294,883 : x
  2. Step 2: Convert to fraction form
    769,846,082/1,112,294,883 = 1,112,294,883/x
  3. Step 3: Cross multiply
    769,846,082x = 1,112,294,883 × 1,112,294,883
  4. Step 4: Simplify right side
    769,846,082x = 1,237,199,906,747,983,616
  5. Step 5: Solve for x
    x = 1,237,199,906,747,983,616/769,846,082
  6. Step 6: Final answer
    x = 1,607,074,369.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.