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Finding the Third Proportional to 2,431,405.50 and 5,628,264.75

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Solution

The third proportional to 2,431,405.50 and 5,628,264.75 is: 13,028,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,405.50 : 5,628,264.75 = 5,628,264.75 : x
  2. Step 2: Convert to fraction form
    2,431,405.50/5,628,264.75 = 5,628,264.75/x
  3. Step 3: Cross multiply
    2,431,405.50x = 5,628,264.75 × 5,628,264.75
  4. Step 4: Simplify right side
    2,431,405.50x = 31,677,364,096,092.56
  5. Step 5: Solve for x
    x = 31,677,364,096,092.56/2,431,405.50
  6. Step 6: Final answer
    x = 13,028,416.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.