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Finding the Third Proportional to 3,004,685,322 and 6,422,870,622

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Solution

The third proportional to 3,004,685,322 and 6,422,870,622 is: 13,729,646,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,685,322 : 6,422,870,622 = 6,422,870,622 : x
  2. Step 2: Convert to fraction form
    3,004,685,322/6,422,870,622 = 6,422,870,622/x
  3. Step 3: Cross multiply
    3,004,685,322x = 6,422,870,622 × 6,422,870,622
  4. Step 4: Simplify right side
    3,004,685,322x = 41,253,267,026,950,668,288
  5. Step 5: Solve for x
    x = 41,253,267,026,950,668,288/3,004,685,322
  6. Step 6: Final answer
    x = 13,729,646,404.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.