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Finding the Third Proportional to 11,604,872,224 and 17,419,591,257

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Solution

The third proportional to 11,604,872,224 and 17,419,591,257 is: 26,147,824,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604,872,224 : 17,419,591,257 = 17,419,591,257 : x
  2. Step 2: Convert to fraction form
    11,604,872,224/17,419,591,257 = 17,419,591,257/x
  3. Step 3: Cross multiply
    11,604,872,224x = 17,419,591,257 × 17,419,591,257
  4. Step 4: Simplify right side
    11,604,872,224x = 303,442,159,560,950,808,576
  5. Step 5: Solve for x
    x = 303,442,159,560,950,808,576/11,604,872,224
  6. Step 6: Final answer
    x = 26,147,824,267.59

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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.