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Finding the Third Proportional to 16,286,819 and 33,913,323

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Solution

The third proportional to 16,286,819 and 33,913,323 is: 70,616,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286,819 : 33,913,323 = 33,913,323 : x
  2. Step 2: Convert to fraction form
    16,286,819/33,913,323 = 33,913,323/x
  3. Step 3: Cross multiply
    16,286,819x = 33,913,323 × 33,913,323
  4. Step 4: Simplify right side
    16,286,819x = 1,150,113,476,902,329
  5. Step 5: Solve for x
    x = 1,150,113,476,902,329/16,286,819
  6. Step 6: Final answer
    x = 70,616,212.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.