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Finding the Third Proportional to 2,003,356,248 and 2,768,259,696

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Solution

The third proportional to 2,003,356,248 and 2,768,259,696 is: 3,825,211,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,356,248 : 2,768,259,696 = 2,768,259,696 : x
  2. Step 2: Convert to fraction form
    2,003,356,248/2,768,259,696 = 2,768,259,696/x
  3. Step 3: Cross multiply
    2,003,356,248x = 2,768,259,696 × 2,768,259,696
  4. Step 4: Simplify right side
    2,003,356,248x = 7,663,261,744,498,012,160
  5. Step 5: Solve for x
    x = 7,663,261,744,498,012,160/2,003,356,248
  6. Step 6: Final answer
    x = 3,825,211,692.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.