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Finding the Third Proportional to 2,947,816.50 and 6,445,521.75

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Solution

The third proportional to 2,947,816.50 and 6,445,521.75 is: 14,093,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,816.50 : 6,445,521.75 = 6,445,521.75 : x
  2. Step 2: Convert to fraction form
    2,947,816.50/6,445,521.75 = 6,445,521.75/x
  3. Step 3: Cross multiply
    2,947,816.50x = 6,445,521.75 × 6,445,521.75
  4. Step 4: Simplify right side
    2,947,816.50x = 41,544,750,629,723.06
  5. Step 5: Solve for x
    x = 41,544,750,629,723.06/2,947,816.50
  6. Step 6: Final answer
    x = 14,093,397.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.