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Finding the Third Proportional to 7,997,005.97 and 17,268,283.69

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Solution

The third proportional to 7,997,005.97 and 17,268,283.69 is: 37,288,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997,005.97 : 17,268,283.69 = 17,268,283.69 : x
  2. Step 2: Convert to fraction form
    7,997,005.97/17,268,283.69 = 17,268,283.69/x
  3. Step 3: Cross multiply
    7,997,005.97x = 17,268,283.69 × 17,268,283.69
  4. Step 4: Simplify right side
    7,997,005.97x = 298,193,621,511,978.62
  5. Step 5: Solve for x
    x = 298,193,621,511,978.62/7,997,005.97
  6. Step 6: Final answer
    x = 37,288,157.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.