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Finding the Third Proportional to 11,647,516.50 and 24,788,763

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Solution

The third proportional to 11,647,516.50 and 24,788,763 is: 52,756,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647,516.50 : 24,788,763 = 24,788,763 : x
  2. Step 2: Convert to fraction form
    11,647,516.50/24,788,763 = 24,788,763/x
  3. Step 3: Cross multiply
    11,647,516.50x = 24,788,763 × 24,788,763
  4. Step 4: Simplify right side
    11,647,516.50x = 614,482,771,070,169
  5. Step 5: Solve for x
    x = 614,482,771,070,169/11,647,516.50
  6. Step 6: Final answer
    x = 52,756,548.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.