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Finding the Third Proportional to 2,127,285,072 and 3,267,770,352

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Solution

The third proportional to 2,127,285,072 and 3,267,770,352 is: 5,019,695,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,285,072 : 3,267,770,352 = 3,267,770,352 : x
  2. Step 2: Convert to fraction form
    2,127,285,072/3,267,770,352 = 3,267,770,352/x
  3. Step 3: Cross multiply
    2,127,285,072x = 3,267,770,352 × 3,267,770,352
  4. Step 4: Simplify right side
    2,127,285,072x = 10,678,323,073,410,203,648
  5. Step 5: Solve for x
    x = 10,678,323,073,410,203,648/2,127,285,072
  6. Step 6: Final answer
    x = 5,019,695,392.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.