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Finding the Third Proportional to 2,548,098 and 5,391,334.69

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Solution

The third proportional to 2,548,098 and 5,391,334.69 is: 11,407,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548,098 : 5,391,334.69 = 5,391,334.69 : x
  2. Step 2: Convert to fraction form
    2,548,098/5,391,334.69 = 5,391,334.69/x
  3. Step 3: Cross multiply
    2,548,098x = 5,391,334.69 × 5,391,334.69
  4. Step 4: Simplify right side
    2,548,098x = 29,066,489,712,640.72
  5. Step 5: Solve for x
    x = 29,066,489,712,640.72/2,548,098
  6. Step 6: Final answer
    x = 11,407,131.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.