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Finding the Third Proportional to 11,736,993 and 25,089,243

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Solution

The third proportional to 11,736,993 and 25,089,243 is: 53,631,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736,993 : 25,089,243 = 25,089,243 : x
  2. Step 2: Convert to fraction form
    11,736,993/25,089,243 = 25,089,243/x
  3. Step 3: Cross multiply
    11,736,993x = 25,089,243 × 25,089,243
  4. Step 4: Simplify right side
    11,736,993x = 629,470,114,313,049
  5. Step 5: Solve for x
    x = 629,470,114,313,049/11,736,993
  6. Step 6: Final answer
    x = 53,631,293.32

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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.