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Finding the Third Proportional to 8,204,751,576 and 16,699,464,240

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Solution

The third proportional to 8,204,751,576 and 16,699,464,240 is: 33,989,098,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204,751,576 : 16,699,464,240 = 16,699,464,240 : x
  2. Step 2: Convert to fraction form
    8,204,751,576/16,699,464,240 = 16,699,464,240/x
  3. Step 3: Cross multiply
    8,204,751,576x = 16,699,464,240 × 16,699,464,240
  4. Step 4: Simplify right side
    8,204,751,576x = 278,872,105,903,038,791,680
  5. Step 5: Solve for x
    x = 278,872,105,903,038,791,680/8,204,751,576
  6. Step 6: Final answer
    x = 33,989,098,063.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.