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Finding the Third Proportional to 3,297,489,968 and 7,111,525,984

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Solution

The third proportional to 3,297,489,968 and 7,111,525,984 is: 15,337,060,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297,489,968 : 7,111,525,984 = 7,111,525,984 : x
  2. Step 2: Convert to fraction form
    3,297,489,968/7,111,525,984 = 7,111,525,984/x
  3. Step 3: Cross multiply
    3,297,489,968x = 7,111,525,984 × 7,111,525,984
  4. Step 4: Simplify right side
    3,297,489,968x = 50,573,801,821,107,167,232
  5. Step 5: Solve for x
    x = 50,573,801,821,107,167,232/3,297,489,968
  6. Step 6: Final answer
    x = 15,337,060,100.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.