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Finding the Third Proportional to 7,449,266 and 11,390,493

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Solution

The third proportional to 7,449,266 and 11,390,493 is: 17,416,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449,266 : 11,390,493 = 11,390,493 : x
  2. Step 2: Convert to fraction form
    7,449,266/11,390,493 = 11,390,493/x
  3. Step 3: Cross multiply
    7,449,266x = 11,390,493 × 11,390,493
  4. Step 4: Simplify right side
    7,449,266x = 129,743,330,783,049
  5. Step 5: Solve for x
    x = 129,743,330,783,049/7,449,266
  6. Step 6: Final answer
    x = 17,416,928.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.