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Finding the Third Proportional to 311,086,060.31 and 666,544,296.94

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Solution

The third proportional to 311,086,060.31 and 666,544,296.94 is: 1,428,162,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,060.31 : 666,544,296.94 = 666,544,296.94 : x
  2. Step 2: Convert to fraction form
    311,086,060.31/666,544,296.94 = 666,544,296.94/x
  3. Step 3: Cross multiply
    311,086,060.31x = 666,544,296.94 × 666,544,296.94
  4. Step 4: Simplify right side
    311,086,060.31x = 444,281,299,779,906,176
  5. Step 5: Solve for x
    x = 444,281,299,779,906,176/311,086,060.31
  6. Step 6: Final answer
    x = 1,428,162,031.22

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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.