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Finding the Third Proportional to 277,555,322 and 617,151,097

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Solution

The third proportional to 277,555,322 and 617,151,097 is: 1,372,250,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,555,322 : 617,151,097 = 617,151,097 : x
  2. Step 2: Convert to fraction form
    277,555,322/617,151,097 = 617,151,097/x
  3. Step 3: Cross multiply
    277,555,322x = 617,151,097 × 617,151,097
  4. Step 4: Simplify right side
    277,555,322x = 380,875,476,528,303,424
  5. Step 5: Solve for x
    x = 380,875,476,528,303,424/277,555,322
  6. Step 6: Final answer
    x = 1,372,250,669.83

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Why These Related Problems?

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