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Finding the Third Proportional to 12,546,299.25 and 19,180,040.63

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Solution

The third proportional to 12,546,299.25 and 19,180,040.63 is: 29,321,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546,299.25 : 19,180,040.63 = 19,180,040.63 : x
  2. Step 2: Convert to fraction form
    12,546,299.25/19,180,040.63 = 19,180,040.63/x
  3. Step 3: Cross multiply
    12,546,299.25x = 19,180,040.63 × 19,180,040.63
  4. Step 4: Simplify right side
    12,546,299.25x = 367,873,958,376,650.38
  5. Step 5: Solve for x
    x = 367,873,958,376,650.38/12,546,299.25
  6. Step 6: Final answer
    x = 29,321,312.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.