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Finding the Third Proportional to 9,968,986 and 14,936,895

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Solution

The third proportional to 9,968,986 and 14,936,895 is: 22,380,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,986 : 14,936,895 = 14,936,895 : x
  2. Step 2: Convert to fraction form
    9,968,986/14,936,895 = 14,936,895/x
  3. Step 3: Cross multiply
    9,968,986x = 14,936,895 × 14,936,895
  4. Step 4: Simplify right side
    9,968,986x = 223,110,832,241,025
  5. Step 5: Solve for x
    x = 223,110,832,241,025/9,968,986
  6. Step 6: Final answer
    x = 22,380,494.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.