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Finding the Third Proportional to 4,040,578.13 and 8,977,964.63

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Solution

The third proportional to 4,040,578.13 and 8,977,964.63 is: 19,948,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040,578.13 : 8,977,964.63 = 8,977,964.63 : x
  2. Step 2: Convert to fraction form
    4,040,578.13/8,977,964.63 = 8,977,964.63/x
  3. Step 3: Cross multiply
    4,040,578.13x = 8,977,964.63 × 8,977,964.63
  4. Step 4: Simplify right side
    4,040,578.13x = 80,603,848,807,751.39
  5. Step 5: Solve for x
    x = 80,603,848,807,751.39/4,040,578.13
  6. Step 6: Final answer
    x = 19,948,593.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.