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Finding the Third Proportional to 2,026,143,508 and 3,027,288,054

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Solution

The third proportional to 2,026,143,508 and 3,027,288,054 is: 4,523,111,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,143,508 : 3,027,288,054 = 3,027,288,054 : x
  2. Step 2: Convert to fraction form
    2,026,143,508/3,027,288,054 = 3,027,288,054/x
  3. Step 3: Cross multiply
    2,026,143,508x = 3,027,288,054 × 3,027,288,054
  4. Step 4: Simplify right side
    2,026,143,508x = 9,164,472,961,891,106,816
  5. Step 5: Solve for x
    x = 9,164,472,961,891,106,816/2,026,143,508
  6. Step 6: Final answer
    x = 4,523,111,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.