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Finding the Third Proportional to 2,332,201,264 and 3,576,251,706

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Solution

The third proportional to 2,332,201,264 and 3,576,251,706 is: 5,483,907,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332,201,264 : 3,576,251,706 = 3,576,251,706 : x
  2. Step 2: Convert to fraction form
    2,332,201,264/3,576,251,706 = 3,576,251,706/x
  3. Step 3: Cross multiply
    2,332,201,264x = 3,576,251,706 × 3,576,251,706
  4. Step 4: Simplify right side
    2,332,201,264x = 12,789,576,264,667,910,144
  5. Step 5: Solve for x
    x = 12,789,576,264,667,910,144/2,332,201,264
  6. Step 6: Final answer
    x = 5,483,907,612.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.