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Finding the Third Proportional to 12,584,380.25 and 19,432,912.25

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Solution

The third proportional to 12,584,380.25 and 19,432,912.25 is: 30,008,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,380.25 : 19,432,912.25 = 19,432,912.25 : x
  2. Step 2: Convert to fraction form
    12,584,380.25/19,432,912.25 = 19,432,912.25/x
  3. Step 3: Cross multiply
    12,584,380.25x = 19,432,912.25 × 19,432,912.25
  4. Step 4: Simplify right side
    12,584,380.25x = 377,638,078,516,200.06
  5. Step 5: Solve for x
    x = 377,638,078,516,200.06/12,584,380.25
  6. Step 6: Final answer
    x = 30,008,476.46

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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.