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Finding the Third Proportional to 7,372,144 and 11,539,768

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Solution

The third proportional to 7,372,144 and 11,539,768 is: 18,063,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,372,144 : 11,539,768 = 11,539,768 : x
  2. Step 2: Convert to fraction form
    7,372,144/11,539,768 = 11,539,768/x
  3. Step 3: Cross multiply
    7,372,144x = 11,539,768 × 11,539,768
  4. Step 4: Simplify right side
    7,372,144x = 133,166,245,493,824
  5. Step 5: Solve for x
    x = 133,166,245,493,824/7,372,144
  6. Step 6: Final answer
    x = 18,063,435.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.