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Finding the Third Proportional to 18,575,225,379 and 40,415,449,302

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Solution

The third proportional to 18,575,225,379 and 40,415,449,302 is: 87,934,789,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,575,225,379 : 40,415,449,302 = 40,415,449,302 : x
  2. Step 2: Convert to fraction form
    18,575,225,379/40,415,449,302 = 40,415,449,302/x
  3. Step 3: Cross multiply
    18,575,225,379x = 40,415,449,302 × 40,415,449,302
  4. Step 4: Simplify right side
    18,575,225,379x = 1,633,408,542,282,532,257,792
  5. Step 5: Solve for x
    x = 1,633,408,542,282,532,257,792/18,575,225,379
  6. Step 6: Final answer
    x = 87,934,789,966.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.