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Finding the Third Proportional to 235,667,021 and 512,127,061

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Solution

The third proportional to 235,667,021 and 512,127,061 is: 1,112,901,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,667,021 : 512,127,061 = 512,127,061 : x
  2. Step 2: Convert to fraction form
    235,667,021/512,127,061 = 512,127,061/x
  3. Step 3: Cross multiply
    235,667,021x = 512,127,061 × 512,127,061
  4. Step 4: Simplify right side
    235,667,021x = 262,274,126,608,497,728
  5. Step 5: Solve for x
    x = 262,274,126,608,497,728/235,667,021
  6. Step 6: Final answer
    x = 1,112,901,268.47

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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.