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Finding the Third Proportional to 11,980,833.75 and 26,242,215

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Solution

The third proportional to 11,980,833.75 and 26,242,215 is: 57,479,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980,833.75 : 26,242,215 = 26,242,215 : x
  2. Step 2: Convert to fraction form
    11,980,833.75/26,242,215 = 26,242,215/x
  3. Step 3: Cross multiply
    11,980,833.75x = 26,242,215 × 26,242,215
  4. Step 4: Simplify right side
    11,980,833.75x = 688,653,848,106,225
  5. Step 5: Solve for x
    x = 688,653,848,106,225/11,980,833.75
  6. Step 6: Final answer
    x = 57,479,626.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.