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Finding the Third Proportional to 453,143,976.75 and 699,733,576.13

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Solution

The third proportional to 453,143,976.75 and 699,733,576.13 is: 1,080,511,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,143,976.75 : 699,733,576.13 = 699,733,576.13 : x
  2. Step 2: Convert to fraction form
    453,143,976.75/699,733,576.13 = 699,733,576.13/x
  3. Step 3: Cross multiply
    453,143,976.75x = 699,733,576.13 × 699,733,576.13
  4. Step 4: Simplify right side
    453,143,976.75x = 489,627,077,556,681,152
  5. Step 5: Solve for x
    x = 489,627,077,556,681,152/453,143,976.75
  6. Step 6: Final answer
    x = 1,080,511,057.59

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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.