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Finding the Third Proportional to 235,667,024 and 512,127,064

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Solution

The third proportional to 235,667,024 and 512,127,064 is: 1,112,901,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,667,024 : 512,127,064 = 512,127,064 : x
  2. Step 2: Convert to fraction form
    235,667,024/512,127,064 = 512,127,064/x
  3. Step 3: Cross multiply
    235,667,024x = 512,127,064 × 512,127,064
  4. Step 4: Simplify right side
    235,667,024x = 262,274,129,681,260,096
  5. Step 5: Solve for x
    x = 262,274,129,681,260,096/235,667,024
  6. Step 6: Final answer
    x = 1,112,901,267.35

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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.