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Finding the Third Proportional to 3,629,999.81 and 7,968,582.56

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Solution

The third proportional to 3,629,999.81 and 7,968,582.56 is: 17,492,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629,999.81 : 7,968,582.56 = 7,968,582.56 : x
  2. Step 2: Convert to fraction form
    3,629,999.81/7,968,582.56 = 7,968,582.56/x
  3. Step 3: Cross multiply
    3,629,999.81x = 7,968,582.56 × 7,968,582.56
  4. Step 4: Simplify right side
    3,629,999.81x = 63,498,308,055,379.06
  5. Step 5: Solve for x
    x = 63,498,308,055,379.06/3,629,999.81
  6. Step 6: Final answer
    x = 17,492,647.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.