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Finding the Third Proportional to 277,555,322.25 and 617,151,096.75

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Solution

The third proportional to 277,555,322.25 and 617,151,096.75 is: 1,372,250,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,555,322.25 : 617,151,096.75 = 617,151,096.75 : x
  2. Step 2: Convert to fraction form
    277,555,322.25/617,151,096.75 = 617,151,096.75/x
  3. Step 3: Cross multiply
    277,555,322.25x = 617,151,096.75 × 617,151,096.75
  4. Step 4: Simplify right side
    277,555,322.25x = 380,875,476,219,727,872
  5. Step 5: Solve for x
    x = 380,875,476,219,727,872/277,555,322.25
  6. Step 6: Final answer
    x = 1,372,250,667.48

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.