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Finding the Third Proportional to 4,211,383.50 and 8,621,968.50

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Solution

The third proportional to 4,211,383.50 and 8,621,968.50 is: 17,651,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,383.50 : 8,621,968.50 = 8,621,968.50 : x
  2. Step 2: Convert to fraction form
    4,211,383.50/8,621,968.50 = 8,621,968.50/x
  3. Step 3: Cross multiply
    4,211,383.50x = 8,621,968.50 × 8,621,968.50
  4. Step 4: Simplify right side
    4,211,383.50x = 74,338,340,814,992.25
  5. Step 5: Solve for x
    x = 74,338,340,814,992.25/4,211,383.50
  6. Step 6: Final answer
    x = 17,651,762.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.