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Finding the Third Proportional to 18,697,419 and 27,971,608.50

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Solution

The third proportional to 18,697,419 and 27,971,608.50 is: 41,845,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697,419 : 27,971,608.50 = 27,971,608.50 : x
  2. Step 2: Convert to fraction form
    18,697,419/27,971,608.50 = 27,971,608.50/x
  3. Step 3: Cross multiply
    18,697,419x = 27,971,608.50 × 27,971,608.50
  4. Step 4: Simplify right side
    18,697,419x = 782,410,882,077,272.25
  5. Step 5: Solve for x
    x = 782,410,882,077,272.25/18,697,419
  6. Step 6: Final answer
    x = 41,845,929.76

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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.