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Finding the Third Proportional to 13,451,069.25 and 21,413,627.25

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Solution

The third proportional to 13,451,069.25 and 21,413,627.25 is: 34,089,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451,069.25 : 21,413,627.25 = 21,413,627.25 : x
  2. Step 2: Convert to fraction form
    13,451,069.25/21,413,627.25 = 21,413,627.25/x
  3. Step 3: Cross multiply
    13,451,069.25x = 21,413,627.25 × 21,413,627.25
  4. Step 4: Simplify right side
    13,451,069.25x = 458,543,432,001,942.56
  5. Step 5: Solve for x
    x = 458,543,432,001,942.56/13,451,069.25
  6. Step 6: Final answer
    x = 34,089,738.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.