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Finding the Third Proportional to 7,543,936 and 16,293,734

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Solution

The third proportional to 7,543,936 and 16,293,734 is: 35,191,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543,936 : 16,293,734 = 16,293,734 : x
  2. Step 2: Convert to fraction form
    7,543,936/16,293,734 = 16,293,734/x
  3. Step 3: Cross multiply
    7,543,936x = 16,293,734 × 16,293,734
  4. Step 4: Simplify right side
    7,543,936x = 265,485,767,662,756
  5. Step 5: Solve for x
    x = 265,485,767,662,756/7,543,936
  6. Step 6: Final answer
    x = 35,191,943.26

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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.