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Finding the Third Proportional to 305,733,086,198 and 665,143,776,784

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Solution

The third proportional to 305,733,086,198 and 665,143,776,784 is: 1,447,066,947,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,733,086,198 : 665,143,776,784 = 665,143,776,784 : x
  2. Step 2: Convert to fraction form
    305,733,086,198/665,143,776,784 = 665,143,776,784/x
  3. Step 3: Cross multiply
    305,733,086,198x = 665,143,776,784 × 665,143,776,784
  4. Step 4: Simplify right side
    305,733,086,198x = 442,416,243,794,483,601,211,392
  5. Step 5: Solve for x
    x = 442,416,243,794,483,601,211,392/305,733,086,198
  6. Step 6: Final answer
    x = 1,447,066,947,500.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.