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Finding the Third Proportional to 5,385,477 and 11,527,467

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Solution

The third proportional to 5,385,477 and 11,527,467 is: 24,674,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,477 : 11,527,467 = 11,527,467 : x
  2. Step 2: Convert to fraction form
    5,385,477/11,527,467 = 11,527,467/x
  3. Step 3: Cross multiply
    5,385,477x = 11,527,467 × 11,527,467
  4. Step 4: Simplify right side
    5,385,477x = 132,882,495,436,089
  5. Step 5: Solve for x
    x = 132,882,495,436,089/5,385,477
  6. Step 6: Final answer
    x = 24,674,229.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.