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Finding the Third Proportional to 1,082,257,251 and 1,673,085,555

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Solution

The third proportional to 1,082,257,251 and 1,673,085,555 is: 2,586,460,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,257,251 : 1,673,085,555 = 1,673,085,555 : x
  2. Step 2: Convert to fraction form
    1,082,257,251/1,673,085,555 = 1,673,085,555/x
  3. Step 3: Cross multiply
    1,082,257,251x = 1,673,085,555 × 1,673,085,555
  4. Step 4: Simplify right side
    1,082,257,251x = 2,799,215,274,349,658,112
  5. Step 5: Solve for x
    x = 2,799,215,274,349,658,112/1,082,257,251
  6. Step 6: Final answer
    x = 2,586,460,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.