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Finding the Third Proportional to 311,086,063.50 and 666,544,303

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Solution

The third proportional to 311,086,063.50 and 666,544,303 is: 1,428,162,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,063.50 : 666,544,303 = 666,544,303 : x
  2. Step 2: Convert to fraction form
    311,086,063.50/666,544,303 = 666,544,303/x
  3. Step 3: Cross multiply
    311,086,063.50x = 666,544,303 × 666,544,303
  4. Step 4: Simplify right side
    311,086,063.50x = 444,281,307,861,755,840
  5. Step 5: Solve for x
    x = 444,281,307,861,755,840/311,086,063.50
  6. Step 6: Final answer
    x = 1,428,162,042.57

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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.