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Finding the Third Proportional to 7,589,942 and 16,391,756

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Solution

The third proportional to 7,589,942 and 16,391,756 is: 35,400,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,942 : 16,391,756 = 16,391,756 : x
  2. Step 2: Convert to fraction form
    7,589,942/16,391,756 = 16,391,756/x
  3. Step 3: Cross multiply
    7,589,942x = 16,391,756 × 16,391,756
  4. Step 4: Simplify right side
    7,589,942x = 268,689,664,763,536
  5. Step 5: Solve for x
    x = 268,689,664,763,536/7,589,942
  6. Step 6: Final answer
    x = 35,400,753.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.