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Finding the Third Proportional to 8,022,913 and 16,709,378

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Solution

The third proportional to 8,022,913 and 16,709,378 is: 34,800,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022,913 : 16,709,378 = 16,709,378 : x
  2. Step 2: Convert to fraction form
    8,022,913/16,709,378 = 16,709,378/x
  3. Step 3: Cross multiply
    8,022,913x = 16,709,378 × 16,709,378
  4. Step 4: Simplify right side
    8,022,913x = 279,203,313,146,884
  5. Step 5: Solve for x
    x = 279,203,313,146,884/8,022,913
  6. Step 6: Final answer
    x = 34,800,740.47

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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.