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Finding the Third Proportional to 2,407,766.50 and 5,014,824.50

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Solution

The third proportional to 2,407,766.50 and 5,014,824.50 is: 10,444,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,766.50 : 5,014,824.50 = 5,014,824.50 : x
  2. Step 2: Convert to fraction form
    2,407,766.50/5,014,824.50 = 5,014,824.50/x
  3. Step 3: Cross multiply
    2,407,766.50x = 5,014,824.50 × 5,014,824.50
  4. Step 4: Simplify right side
    2,407,766.50x = 25,148,464,765,800.25
  5. Step 5: Solve for x
    x = 25,148,464,765,800.25/2,407,766.50
  6. Step 6: Final answer
    x = 10,444,727.41

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