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Finding the Third Proportional to 5,795,571 and 12,586,710

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Solution

The third proportional to 5,795,571 and 12,586,710 is: 27,335,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795,571 : 12,586,710 = 12,586,710 : x
  2. Step 2: Convert to fraction form
    5,795,571/12,586,710 = 12,586,710/x
  3. Step 3: Cross multiply
    5,795,571x = 12,586,710 × 12,586,710
  4. Step 4: Simplify right side
    5,795,571x = 158,425,268,624,100
  5. Step 5: Solve for x
    x = 158,425,268,624,100/5,795,571
  6. Step 6: Final answer
    x = 27,335,575.50

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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.