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Finding the Third Proportional to 7,659,536 and 16,595,610

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Solution

The third proportional to 7,659,536 and 16,595,610 is: 35,957,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,536 : 16,595,610 = 16,595,610 : x
  2. Step 2: Convert to fraction form
    7,659,536/16,595,610 = 16,595,610/x
  3. Step 3: Cross multiply
    7,659,536x = 16,595,610 × 16,595,610
  4. Step 4: Simplify right side
    7,659,536x = 275,414,271,272,100
  5. Step 5: Solve for x
    x = 275,414,271,272,100/7,659,536
  6. Step 6: Final answer
    x = 35,957,043.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.