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Finding the Third Proportional to 18,697,478 and 27,971,697

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Solution

The third proportional to 18,697,478 and 27,971,697 is: 41,846,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697,478 : 27,971,697 = 27,971,697 : x
  2. Step 2: Convert to fraction form
    18,697,478/27,971,697 = 27,971,697/x
  3. Step 3: Cross multiply
    18,697,478x = 27,971,697 × 27,971,697
  4. Step 4: Simplify right side
    18,697,478x = 782,415,833,059,809
  5. Step 5: Solve for x
    x = 782,415,833,059,809/18,697,478
  6. Step 6: Final answer
    x = 41,846,062.50

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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.