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Finding the Third Proportional to 1,804,247,313 and 2,870,941,992

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Solution

The third proportional to 1,804,247,313 and 2,870,941,992 is: 4,568,280,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804,247,313 : 2,870,941,992 = 2,870,941,992 : x
  2. Step 2: Convert to fraction form
    1,804,247,313/2,870,941,992 = 2,870,941,992/x
  3. Step 3: Cross multiply
    1,804,247,313x = 2,870,941,992 × 2,870,941,992
  4. Step 4: Simplify right side
    1,804,247,313x = 8,242,307,921,428,928,512
  5. Step 5: Solve for x
    x = 8,242,307,921,428,928,512/1,804,247,313
  6. Step 6: Final answer
    x = 4,568,280,557.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.