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Finding the Third Proportional to 11,726,511.75 and 17,938,503

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Solution

The third proportional to 11,726,511.75 and 17,938,503 is: 27,441,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726,511.75 : 17,938,503 = 17,938,503 : x
  2. Step 2: Convert to fraction form
    11,726,511.75/17,938,503 = 17,938,503/x
  3. Step 3: Cross multiply
    11,726,511.75x = 17,938,503 × 17,938,503
  4. Step 4: Simplify right side
    11,726,511.75x = 321,789,889,881,009
  5. Step 5: Solve for x
    x = 321,789,889,881,009/11,726,511.75
  6. Step 6: Final answer
    x = 27,441,228.62

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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.