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Finding the Third Proportional to 9,632,121 and 13,208,098

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Solution

The third proportional to 9,632,121 and 13,208,098 is: 18,111,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632,121 : 13,208,098 = 13,208,098 : x
  2. Step 2: Convert to fraction form
    9,632,121/13,208,098 = 13,208,098/x
  3. Step 3: Cross multiply
    9,632,121x = 13,208,098 × 13,208,098
  4. Step 4: Simplify right side
    9,632,121x = 174,453,852,777,604
  5. Step 5: Solve for x
    x = 174,453,852,777,604/9,632,121
  6. Step 6: Final answer
    x = 18,111,675.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.