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Finding the Third Proportional to 273,267,295,558.02 and 601,187,094,421.60

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Solution

The third proportional to 273,267,295,558.02 and 601,187,094,421.60 is: 1,322,609,504,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,267,295,558.02 : 601,187,094,421.60 = 601,187,094,421.60 : x
  2. Step 2: Convert to fraction form
    273,267,295,558.02/601,187,094,421.60 = 601,187,094,421.60/x
  3. Step 3: Cross multiply
    273,267,295,558.02x = 601,187,094,421.60 × 601,187,094,421.60
  4. Step 4: Simplify right side
    273,267,295,558.02x = 361,425,922,499,085,743,423,488
  5. Step 5: Solve for x
    x = 361,425,922,499,085,743,423,488/273,267,295,558.02
  6. Step 6: Final answer
    x = 1,322,609,504,957.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.