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Finding the Third Proportional to 8,281,170 and 12,570,714

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Solution

The third proportional to 8,281,170 and 12,570,714 is: 19,082,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281,170 : 12,570,714 = 12,570,714 : x
  2. Step 2: Convert to fraction form
    8,281,170/12,570,714 = 12,570,714/x
  3. Step 3: Cross multiply
    8,281,170x = 12,570,714 × 12,570,714
  4. Step 4: Simplify right side
    8,281,170x = 158,022,850,469,796
  5. Step 5: Solve for x
    x = 158,022,850,469,796/8,281,170
  6. Step 6: Final answer
    x = 19,082,188.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.