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Finding the Third Proportional to 11,250,148 and 23,297,832

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Solution

The third proportional to 11,250,148 and 23,297,832 is: 48,247,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250,148 : 23,297,832 = 23,297,832 : x
  2. Step 2: Convert to fraction form
    11,250,148/23,297,832 = 23,297,832/x
  3. Step 3: Cross multiply
    11,250,148x = 23,297,832 × 23,297,832
  4. Step 4: Simplify right side
    11,250,148x = 542,788,975,900,224
  5. Step 5: Solve for x
    x = 542,788,975,900,224/11,250,148
  6. Step 6: Final answer
    x = 48,247,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.