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Finding the Third Proportional to 1,789,803,219 and 3,630,640,458

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Solution

The third proportional to 1,789,803,219 and 3,630,640,458 is: 7,364,804,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,803,219 : 3,630,640,458 = 3,630,640,458 : x
  2. Step 2: Convert to fraction form
    1,789,803,219/3,630,640,458 = 3,630,640,458/x
  3. Step 3: Cross multiply
    1,789,803,219x = 3,630,640,458 × 3,630,640,458
  4. Step 4: Simplify right side
    1,789,803,219x = 13,181,550,135,266,449,408
  5. Step 5: Solve for x
    x = 13,181,550,135,266,449,408/1,789,803,219
  6. Step 6: Final answer
    x = 7,364,804,127.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.