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Finding the Third Proportional to 1,940,273,256 and 2,982,370,728

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Solution

The third proportional to 1,940,273,256 and 2,982,370,728 is: 4,584,166,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,273,256 : 2,982,370,728 = 2,982,370,728 : x
  2. Step 2: Convert to fraction form
    1,940,273,256/2,982,370,728 = 2,982,370,728/x
  3. Step 3: Cross multiply
    1,940,273,256x = 2,982,370,728 × 2,982,370,728
  4. Step 4: Simplify right side
    1,940,273,256x = 8,894,535,159,231,250,432
  5. Step 5: Solve for x
    x = 8,894,535,159,231,250,432/1,940,273,256
  6. Step 6: Final answer
    x = 4,584,166,241.39

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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.