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Finding the Third Proportional to 7,829,606 and 11,978,418

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Solution

The third proportional to 7,829,606 and 11,978,418 is: 18,325,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,606 : 11,978,418 = 11,978,418 : x
  2. Step 2: Convert to fraction form
    7,829,606/11,978,418 = 11,978,418/x
  3. Step 3: Cross multiply
    7,829,606x = 11,978,418 × 11,978,418
  4. Step 4: Simplify right side
    7,829,606x = 143,482,497,782,724
  5. Step 5: Solve for x
    x = 143,482,497,782,724/7,829,606
  6. Step 6: Final answer
    x = 18,325,634.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.