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Finding the Third Proportional to 4,907,961 and 10,498,267

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Solution

The third proportional to 4,907,961 and 10,498,267 is: 22,456,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907,961 : 10,498,267 = 10,498,267 : x
  2. Step 2: Convert to fraction form
    4,907,961/10,498,267 = 10,498,267/x
  3. Step 3: Cross multiply
    4,907,961x = 10,498,267 × 10,498,267
  4. Step 4: Simplify right side
    4,907,961x = 110,213,610,003,289
  5. Step 5: Solve for x
    x = 110,213,610,003,289/4,907,961
  6. Step 6: Final answer
    x = 22,456,089.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.