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Finding the Third Proportional to 4,914,144 and 7,439,924.25

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Solution

The third proportional to 4,914,144 and 7,439,924.25 is: 11,263,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914,144 : 7,439,924.25 = 7,439,924.25 : x
  2. Step 2: Convert to fraction form
    4,914,144/7,439,924.25 = 7,439,924.25/x
  3. Step 3: Cross multiply
    4,914,144x = 7,439,924.25 × 7,439,924.25
  4. Step 4: Simplify right side
    4,914,144x = 55,352,472,845,738.06
  5. Step 5: Solve for x
    x = 55,352,472,845,738.06/4,914,144
  6. Step 6: Final answer
    x = 11,263,909.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.