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Finding the Third Proportional to 1,236,679,356 and 2,667,054,264

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Solution

The third proportional to 1,236,679,356 and 2,667,054,264 is: 5,751,837,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,679,356 : 2,667,054,264 = 2,667,054,264 : x
  2. Step 2: Convert to fraction form
    1,236,679,356/2,667,054,264 = 2,667,054,264/x
  3. Step 3: Cross multiply
    1,236,679,356x = 2,667,054,264 × 2,667,054,264
  4. Step 4: Simplify right side
    1,236,679,356x = 7,113,178,447,120,581,632
  5. Step 5: Solve for x
    x = 7,113,178,447,120,581,632/1,236,679,356
  6. Step 6: Final answer
    x = 5,751,837,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.