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Finding the Third Proportional to 3,042,144 and 6,586,272

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Solution

The third proportional to 3,042,144 and 6,586,272 is: 14,259,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,144 : 6,586,272 = 6,586,272 : x
  2. Step 2: Convert to fraction form
    3,042,144/6,586,272 = 6,586,272/x
  3. Step 3: Cross multiply
    3,042,144x = 6,586,272 × 6,586,272
  4. Step 4: Simplify right side
    3,042,144x = 43,378,978,857,984
  5. Step 5: Solve for x
    x = 43,378,978,857,984/3,042,144
  6. Step 6: Final answer
    x = 14,259,344.35

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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.