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Finding the Third Proportional to 918,103,504.50 and 1,992,083,208.75

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Solution

The third proportional to 918,103,504.50 and 1,992,083,208.75 is: 4,322,383,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,103,504.50 : 1,992,083,208.75 = 1,992,083,208.75 : x
  2. Step 2: Convert to fraction form
    918,103,504.50/1,992,083,208.75 = 1,992,083,208.75/x
  3. Step 3: Cross multiply
    918,103,504.50x = 1,992,083,208.75 × 1,992,083,208.75
  4. Step 4: Simplify right side
    918,103,504.50x = 3,968,395,510,583,695,872
  5. Step 5: Solve for x
    x = 3,968,395,510,583,695,872/918,103,504.50
  6. Step 6: Final answer
    x = 4,322,383,577.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.