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Finding the Third Proportional to 3,680,376.75 and 5,586,782.63

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Solution

The third proportional to 3,680,376.75 and 5,586,782.63 is: 8,480,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,376.75 : 5,586,782.63 = 5,586,782.63 : x
  2. Step 2: Convert to fraction form
    3,680,376.75/5,586,782.63 = 5,586,782.63/x
  3. Step 3: Cross multiply
    3,680,376.75x = 5,586,782.63 × 5,586,782.63
  4. Step 4: Simplify right side
    3,680,376.75x = 31,212,140,099,001.89
  5. Step 5: Solve for x
    x = 31,212,140,099,001.89/3,680,376.75
  6. Step 6: Final answer
    x = 8,480,691.58

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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.