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Finding the Third Proportional to 1,150,906,692 and 1,682,665,836

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Solution

The third proportional to 1,150,906,692 and 1,682,665,836 is: 2,460,116,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,906,692 : 1,682,665,836 = 1,682,665,836 : x
  2. Step 2: Convert to fraction form
    1,150,906,692/1,682,665,836 = 1,682,665,836/x
  3. Step 3: Cross multiply
    1,150,906,692x = 1,682,665,836 × 1,682,665,836
  4. Step 4: Simplify right side
    1,150,906,692x = 2,831,364,315,641,579,008
  5. Step 5: Solve for x
    x = 2,831,364,315,641,579,008/1,150,906,692
  6. Step 6: Final answer
    x = 2,460,116,302.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.