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Finding the Third Proportional to 2,519,113.50 and 5,397,618.94

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Solution

The third proportional to 2,519,113.50 and 5,397,618.94 is: 11,565,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519,113.50 : 5,397,618.94 = 5,397,618.94 : x
  2. Step 2: Convert to fraction form
    2,519,113.50/5,397,618.94 = 5,397,618.94/x
  3. Step 3: Cross multiply
    2,519,113.50x = 5,397,618.94 × 5,397,618.94
  4. Step 4: Simplify right side
    2,519,113.50x = 29,134,290,194,458.63
  5. Step 5: Solve for x
    x = 29,134,290,194,458.63/2,519,113.50
  6. Step 6: Final answer
    x = 11,565,294.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.