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Finding the Third Proportional to 1,206,389,078 and 2,603,322,718

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Solution

The third proportional to 1,206,389,078 and 2,603,322,718 is: 5,617,830,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,389,078 : 2,603,322,718 = 2,603,322,718 : x
  2. Step 2: Convert to fraction form
    1,206,389,078/2,603,322,718 = 2,603,322,718/x
  3. Step 3: Cross multiply
    1,206,389,078x = 2,603,322,718 × 2,603,322,718
  4. Step 4: Simplify right side
    1,206,389,078x = 6,777,289,174,054,907,904
  5. Step 5: Solve for x
    x = 6,777,289,174,054,907,904/1,206,389,078
  6. Step 6: Final answer
    x = 5,617,830,348.14

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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.