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Finding the Third Proportional to 5,128,004 and 10,942,375

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Solution

The third proportional to 5,128,004 and 10,942,375 is: 23,349,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128,004 : 10,942,375 = 10,942,375 : x
  2. Step 2: Convert to fraction form
    5,128,004/10,942,375 = 10,942,375/x
  3. Step 3: Cross multiply
    5,128,004x = 10,942,375 × 10,942,375
  4. Step 4: Simplify right side
    5,128,004x = 119,735,570,640,625
  5. Step 5: Solve for x
    x = 119,735,570,640,625/5,128,004
  6. Step 6: Final answer
    x = 23,349,352.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.