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Finding the Third Proportional to 5,698,978 and 11,630,504

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Solution

The third proportional to 5,698,978 and 11,630,504 is: 23,735,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698,978 : 11,630,504 = 11,630,504 : x
  2. Step 2: Convert to fraction form
    5,698,978/11,630,504 = 11,630,504/x
  3. Step 3: Cross multiply
    5,698,978x = 11,630,504 × 11,630,504
  4. Step 4: Simplify right side
    5,698,978x = 135,268,623,294,016
  5. Step 5: Solve for x
    x = 135,268,623,294,016/5,698,978
  6. Step 6: Final answer
    x = 23,735,593.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.