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Finding the Third Proportional to 5,795,573 and 12,586,714

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Solution

The third proportional to 5,795,573 and 12,586,714 is: 27,335,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795,573 : 12,586,714 = 12,586,714 : x
  2. Step 2: Convert to fraction form
    5,795,573/12,586,714 = 12,586,714/x
  3. Step 3: Cross multiply
    5,795,573x = 12,586,714 × 12,586,714
  4. Step 4: Simplify right side
    5,795,573x = 158,425,369,317,796
  5. Step 5: Solve for x
    x = 158,425,369,317,796/5,795,573
  6. Step 6: Final answer
    x = 27,335,583.44

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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.