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Finding the Third Proportional to 11,478,998.25 and 24,975,733.50

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Solution

The third proportional to 11,478,998.25 and 24,975,733.50 is: 54,341,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478,998.25 : 24,975,733.50 = 24,975,733.50 : x
  2. Step 2: Convert to fraction form
    11,478,998.25/24,975,733.50 = 24,975,733.50/x
  3. Step 3: Cross multiply
    11,478,998.25x = 24,975,733.50 × 24,975,733.50
  4. Step 4: Simplify right side
    11,478,998.25x = 623,787,263,863,022.25
  5. Step 5: Solve for x
    x = 623,787,263,863,022.25/11,478,998.25
  6. Step 6: Final answer
    x = 54,341,611.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.