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Finding the Third Proportional to 11,324,200,564 and 16,986,302,574

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Solution

The third proportional to 11,324,200,564 and 16,986,302,574 is: 25,479,456,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324,200,564 : 16,986,302,574 = 16,986,302,574 : x
  2. Step 2: Convert to fraction form
    11,324,200,564/16,986,302,574 = 16,986,302,574/x
  3. Step 3: Cross multiply
    11,324,200,564x = 16,986,302,574 × 16,986,302,574
  4. Step 4: Simplify right side
    11,324,200,564x = 288,534,475,135,479,021,568
  5. Step 5: Solve for x
    x = 288,534,475,135,479,021,568/11,324,200,564
  6. Step 6: Final answer
    x = 25,479,456,453.00

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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.