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Finding the Third Proportional to 3,645,729 and 7,977,933

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Solution

The third proportional to 3,645,729 and 7,977,933 is: 17,458,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,729 : 7,977,933 = 7,977,933 : x
  2. Step 2: Convert to fraction form
    3,645,729/7,977,933 = 7,977,933/x
  3. Step 3: Cross multiply
    3,645,729x = 7,977,933 × 7,977,933
  4. Step 4: Simplify right side
    3,645,729x = 63,647,414,952,489
  5. Step 5: Solve for x
    x = 63,647,414,952,489/3,645,729
  6. Step 6: Final answer
    x = 17,458,076.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.