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Finding the Third Proportional to 7,467,653.25 and 11,533,122

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Solution

The third proportional to 7,467,653.25 and 11,533,122 is: 17,811,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467,653.25 : 11,533,122 = 11,533,122 : x
  2. Step 2: Convert to fraction form
    7,467,653.25/11,533,122 = 11,533,122/x
  3. Step 3: Cross multiply
    7,467,653.25x = 11,533,122 × 11,533,122
  4. Step 4: Simplify right side
    7,467,653.25x = 133,012,903,066,884
  5. Step 5: Solve for x
    x = 133,012,903,066,884/7,467,653.25
  6. Step 6: Final answer
    x = 17,811,874.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.