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Finding the Third Proportional to 11,324,202,862 and 16,986,305,752

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Solution

The third proportional to 11,324,202,862 and 16,986,305,752 is: 25,479,460,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324,202,862 : 16,986,305,752 = 16,986,305,752 : x
  2. Step 2: Convert to fraction form
    11,324,202,862/16,986,305,752 = 16,986,305,752/x
  3. Step 3: Cross multiply
    11,324,202,862x = 16,986,305,752 × 16,986,305,752
  4. Step 4: Simplify right side
    11,324,202,862x = 288,534,583,100,428,288,000
  5. Step 5: Solve for x
    x = 288,534,583,100,428,288,000/11,324,202,862
  6. Step 6: Final answer
    x = 25,479,460,816.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.