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Finding the Third Proportional to 7,567,200,336 and 17,680,394,448

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Solution

The third proportional to 7,567,200,336 and 17,680,394,448 is: 41,309,379,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,200,336 : 17,680,394,448 = 17,680,394,448 : x
  2. Step 2: Convert to fraction form
    7,567,200,336/17,680,394,448 = 17,680,394,448/x
  3. Step 3: Cross multiply
    7,567,200,336x = 17,680,394,448 × 17,680,394,448
  4. Step 4: Simplify right side
    7,567,200,336x = 312,596,347,836,869,246,976
  5. Step 5: Solve for x
    x = 312,596,347,836,869,246,976/7,567,200,336
  6. Step 6: Final answer
    x = 41,309,379,157.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.