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Finding the Third Proportional to 5,349,969 and 11,572,551

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Solution

The third proportional to 5,349,969 and 11,572,551 is: 25,032,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349,969 : 11,572,551 = 11,572,551 : x
  2. Step 2: Convert to fraction form
    5,349,969/11,572,551 = 11,572,551/x
  3. Step 3: Cross multiply
    5,349,969x = 11,572,551 × 11,572,551
  4. Step 4: Simplify right side
    5,349,969x = 133,923,936,647,601
  5. Step 5: Solve for x
    x = 133,923,936,647,601/5,349,969
  6. Step 6: Final answer
    x = 25,032,656.57

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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.