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Finding the Third Proportional to 311,086,062 and 666,544,301

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Solution

The third proportional to 311,086,062 and 666,544,301 is: 1,428,162,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,062 : 666,544,301 = 666,544,301 : x
  2. Step 2: Convert to fraction form
    311,086,062/666,544,301 = 666,544,301/x
  3. Step 3: Cross multiply
    311,086,062x = 666,544,301 × 666,544,301
  4. Step 4: Simplify right side
    311,086,062x = 444,281,305,195,578,624
  5. Step 5: Solve for x
    x = 444,281,305,195,578,624/311,086,062
  6. Step 6: Final answer
    x = 1,428,162,040.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.