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Finding the Third Proportional to 3,663,229.50 and 5,385,084

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Solution

The third proportional to 3,663,229.50 and 5,385,084 is: 7,916,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,229.50 : 5,385,084 = 5,385,084 : x
  2. Step 2: Convert to fraction form
    3,663,229.50/5,385,084 = 5,385,084/x
  3. Step 3: Cross multiply
    3,663,229.50x = 5,385,084 × 5,385,084
  4. Step 4: Simplify right side
    3,663,229.50x = 28,999,129,687,056
  5. Step 5: Solve for x
    x = 28,999,129,687,056/3,663,229.50
  6. Step 6: Final answer
    x = 7,916,274.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.