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Finding the Third Proportional to 5,780,736 and 12,705,857

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Solution

The third proportional to 5,780,736 and 12,705,857 is: 27,927,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,736 : 12,705,857 = 12,705,857 : x
  2. Step 2: Convert to fraction form
    5,780,736/12,705,857 = 12,705,857/x
  3. Step 3: Cross multiply
    5,780,736x = 12,705,857 × 12,705,857
  4. Step 4: Simplify right side
    5,780,736x = 161,438,802,104,449
  5. Step 5: Solve for x
    x = 161,438,802,104,449/5,780,736
  6. Step 6: Final answer
    x = 27,927,032.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.