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Finding the Third Proportional to 10,297,023.75 and 13,968,837

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Solution

The third proportional to 10,297,023.75 and 13,968,837 is: 18,949,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297,023.75 : 13,968,837 = 13,968,837 : x
  2. Step 2: Convert to fraction form
    10,297,023.75/13,968,837 = 13,968,837/x
  3. Step 3: Cross multiply
    10,297,023.75x = 13,968,837 × 13,968,837
  4. Step 4: Simplify right side
    10,297,023.75x = 195,128,407,132,569
  5. Step 5: Solve for x
    x = 195,128,407,132,569/10,297,023.75
  6. Step 6: Final answer
    x = 18,949,981.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.