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Finding the Third Proportional to 11,742,063.75 and 17,961,861.38

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Solution

The third proportional to 11,742,063.75 and 17,961,861.38 is: 27,476,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,063.75 : 17,961,861.38 = 17,961,861.38 : x
  2. Step 2: Convert to fraction form
    11,742,063.75/17,961,861.38 = 17,961,861.38/x
  3. Step 3: Cross multiply
    11,742,063.75x = 17,961,861.38 × 17,961,861.38
  4. Step 4: Simplify right side
    11,742,063.75x = 322,628,464,054,716.88
  5. Step 5: Solve for x
    x = 322,628,464,054,716.88/11,742,063.75
  6. Step 6: Final answer
    x = 27,476,299.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.