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Finding the Third Proportional to 10,149,771 and 23,683,611

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Solution

The third proportional to 10,149,771 and 23,683,611 is: 55,263,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,771 : 23,683,611 = 23,683,611 : x
  2. Step 2: Convert to fraction form
    10,149,771/23,683,611 = 23,683,611/x
  3. Step 3: Cross multiply
    10,149,771x = 23,683,611 × 23,683,611
  4. Step 4: Simplify right side
    10,149,771x = 560,913,429,999,321
  5. Step 5: Solve for x
    x = 560,913,429,999,321/10,149,771
  6. Step 6: Final answer
    x = 55,263,653.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.