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Finding the Third Proportional to 3,457,524,192 and 7,570,782,912

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Solution

The third proportional to 3,457,524,192 and 7,570,782,912 is: 16,577,397,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,524,192 : 7,570,782,912 = 7,570,782,912 : x
  2. Step 2: Convert to fraction form
    3,457,524,192/7,570,782,912 = 7,570,782,912/x
  3. Step 3: Cross multiply
    3,457,524,192x = 7,570,782,912 × 7,570,782,912
  4. Step 4: Simplify right side
    3,457,524,192x = 57,316,753,900,631,195,648
  5. Step 5: Solve for x
    x = 57,316,753,900,631,195,648/3,457,524,192
  6. Step 6: Final answer
    x = 16,577,397,790.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.