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Finding the Third Proportional to 7,342,956 and 10,322,232

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Solution

The third proportional to 7,342,956 and 10,322,232 is: 14,510,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342,956 : 10,322,232 = 10,322,232 : x
  2. Step 2: Convert to fraction form
    7,342,956/10,322,232 = 10,322,232/x
  3. Step 3: Cross multiply
    7,342,956x = 10,322,232 × 10,322,232
  4. Step 4: Simplify right side
    7,342,956x = 106,548,473,461,824
  5. Step 5: Solve for x
    x = 106,548,473,461,824/7,342,956
  6. Step 6: Final answer
    x = 14,510,297.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.