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Finding the Third Proportional to 5,968,999.69 and 12,891,072.38

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Solution

The third proportional to 5,968,999.69 and 12,891,072.38 is: 27,840,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968,999.69 : 12,891,072.38 = 12,891,072.38 : x
  2. Step 2: Convert to fraction form
    5,968,999.69/12,891,072.38 = 12,891,072.38/x
  3. Step 3: Cross multiply
    5,968,999.69x = 12,891,072.38 × 12,891,072.38
  4. Step 4: Simplify right side
    5,968,999.69x = 166,179,746,977,488.12
  5. Step 5: Solve for x
    x = 166,179,746,977,488.12/5,968,999.69
  6. Step 6: Final answer
    x = 27,840,468.37

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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.