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Finding the Third Proportional to 5,977,891 and 9,516,647

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Solution

The third proportional to 5,977,891 and 9,516,647 is: 15,150,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,891 : 9,516,647 = 9,516,647 : x
  2. Step 2: Convert to fraction form
    5,977,891/9,516,647 = 9,516,647/x
  3. Step 3: Cross multiply
    5,977,891x = 9,516,647 × 9,516,647
  4. Step 4: Simplify right side
    5,977,891x = 90,566,570,122,609
  5. Step 5: Solve for x
    x = 90,566,570,122,609/5,977,891
  6. Step 6: Final answer
    x = 15,150,254.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.