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Finding the Third Proportional to 65,529,759 and 142,496,286

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Solution

The third proportional to 65,529,759 and 142,496,286 is: 309,862,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529,759 : 142,496,286 = 142,496,286 : x
  2. Step 2: Convert to fraction form
    65,529,759/142,496,286 = 142,496,286/x
  3. Step 3: Cross multiply
    65,529,759x = 142,496,286 × 142,496,286
  4. Step 4: Simplify right side
    65,529,759x = 20,305,191,523,793,796
  5. Step 5: Solve for x
    x = 20,305,191,523,793,796/65,529,759
  6. Step 6: Final answer
    x = 309,862,142.54

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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.