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Finding the Third Proportional to 2,407,772.25 and 5,014,836

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Solution

The third proportional to 2,407,772.25 and 5,014,836 is: 10,444,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,772.25 : 5,014,836 = 5,014,836 : x
  2. Step 2: Convert to fraction form
    2,407,772.25/5,014,836 = 5,014,836/x
  3. Step 3: Cross multiply
    2,407,772.25x = 5,014,836 × 5,014,836
  4. Step 4: Simplify right side
    2,407,772.25x = 25,148,580,106,896
  5. Step 5: Solve for x
    x = 25,148,580,106,896/2,407,772.25
  6. Step 6: Final answer
    x = 10,444,750.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.