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Finding the Third Proportional to 355,147,157,880 and 513,126,313,236

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Solution

The third proportional to 355,147,157,880 and 513,126,313,236 is: 741,378,911,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,147,157,880 : 513,126,313,236 = 513,126,313,236 : x
  2. Step 2: Convert to fraction form
    355,147,157,880/513,126,313,236 = 513,126,313,236/x
  3. Step 3: Cross multiply
    355,147,157,880x = 513,126,313,236 × 513,126,313,236
  4. Step 4: Simplify right side
    355,147,157,880x = 263,298,613,335,169,582,497,792
  5. Step 5: Solve for x
    x = 263,298,613,335,169,582,497,792/355,147,157,880
  6. Step 6: Final answer
    x = 741,378,911,510.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.