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Finding the Third Proportional to 6,649,849 and 14,325,533

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Solution

The third proportional to 6,649,849 and 14,325,533 is: 30,860,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,849 : 14,325,533 = 14,325,533 : x
  2. Step 2: Convert to fraction form
    6,649,849/14,325,533 = 14,325,533/x
  3. Step 3: Cross multiply
    6,649,849x = 14,325,533 × 14,325,533
  4. Step 4: Simplify right side
    6,649,849x = 205,220,895,734,089
  5. Step 5: Solve for x
    x = 205,220,895,734,089/6,649,849
  6. Step 6: Final answer
    x = 30,860,985.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.