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Finding the Third Proportional to 6,105,168 and 13,259,232

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Solution

The third proportional to 6,105,168 and 13,259,232 is: 28,796,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105,168 : 13,259,232 = 13,259,232 : x
  2. Step 2: Convert to fraction form
    6,105,168/13,259,232 = 13,259,232/x
  3. Step 3: Cross multiply
    6,105,168x = 13,259,232 × 13,259,232
  4. Step 4: Simplify right side
    6,105,168x = 175,807,233,229,824
  5. Step 5: Solve for x
    x = 175,807,233,229,824/6,105,168
  6. Step 6: Final answer
    x = 28,796,461.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.