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Finding the Third Proportional to 5,354,569 and 8,157,400

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Solution

The third proportional to 5,354,569 and 8,157,400 is: 12,427,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,569 : 8,157,400 = 8,157,400 : x
  2. Step 2: Convert to fraction form
    5,354,569/8,157,400 = 8,157,400/x
  3. Step 3: Cross multiply
    5,354,569x = 8,157,400 × 8,157,400
  4. Step 4: Simplify right side
    5,354,569x = 66,543,174,760,000
  5. Step 5: Solve for x
    x = 66,543,174,760,000/5,354,569
  6. Step 6: Final answer
    x = 12,427,363.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.