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Finding the Third Proportional to 2,007,319,758 and 4,179,600,252

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Solution

The third proportional to 2,007,319,758 and 4,179,600,252 is: 8,702,678,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007,319,758 : 4,179,600,252 = 4,179,600,252 : x
  2. Step 2: Convert to fraction form
    2,007,319,758/4,179,600,252 = 4,179,600,252/x
  3. Step 3: Cross multiply
    2,007,319,758x = 4,179,600,252 × 4,179,600,252
  4. Step 4: Simplify right side
    2,007,319,758x = 17,469,058,266,518,464,512
  5. Step 5: Solve for x
    x = 17,469,058,266,518,464,512/2,007,319,758
  6. Step 6: Final answer
    x = 8,702,678,383.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.