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Finding the Third Proportional to 3,971,826 and 8,485,856

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Solution

The third proportional to 3,971,826 and 8,485,856 is: 18,130,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,826 : 8,485,856 = 8,485,856 : x
  2. Step 2: Convert to fraction form
    3,971,826/8,485,856 = 8,485,856/x
  3. Step 3: Cross multiply
    3,971,826x = 8,485,856 × 8,485,856
  4. Step 4: Simplify right side
    3,971,826x = 72,009,752,052,736
  5. Step 5: Solve for x
    x = 72,009,752,052,736/3,971,826
  6. Step 6: Final answer
    x = 18,130,137.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.