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Finding the Third Proportional to 33,412,018 and 53,165,615

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Solution

The third proportional to 33,412,018 and 53,165,615 is: 84,597,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412,018 : 53,165,615 = 53,165,615 : x
  2. Step 2: Convert to fraction form
    33,412,018/53,165,615 = 53,165,615/x
  3. Step 3: Cross multiply
    33,412,018x = 53,165,615 × 53,165,615
  4. Step 4: Simplify right side
    33,412,018x = 2,826,582,618,328,225
  5. Step 5: Solve for x
    x = 2,826,582,618,328,225/33,412,018
  6. Step 6: Final answer
    x = 84,597,782.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.