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Finding the Third Proportional to 12,584,380.75 and 19,432,912.88

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Solution

The third proportional to 12,584,380.75 and 19,432,912.88 is: 30,008,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,380.75 : 19,432,912.88 = 19,432,912.88 : x
  2. Step 2: Convert to fraction form
    12,584,380.75/19,432,912.88 = 19,432,912.88/x
  3. Step 3: Cross multiply
    12,584,380.75x = 19,432,912.88 × 19,432,912.88
  4. Step 4: Simplify right side
    12,584,380.75x = 377,638,102,807,340.75
  5. Step 5: Solve for x
    x = 377,638,102,807,340.75/12,584,380.75
  6. Step 6: Final answer
    x = 30,008,477.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.