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Finding the Third Proportional to 12,770,832 and 19,137,564

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Solution

The third proportional to 12,770,832 and 19,137,564 is: 28,678,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770,832 : 19,137,564 = 19,137,564 : x
  2. Step 2: Convert to fraction form
    12,770,832/19,137,564 = 19,137,564/x
  3. Step 3: Cross multiply
    12,770,832x = 19,137,564 × 19,137,564
  4. Step 4: Simplify right side
    12,770,832x = 366,246,355,854,096
  5. Step 5: Solve for x
    x = 366,246,355,854,096/12,770,832
  6. Step 6: Final answer
    x = 28,678,347.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.