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Finding the Third Proportional to 1,419,896,289,533 and 2,879,302,851,876

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Solution

The third proportional to 1,419,896,289,533 and 2,879,302,851,876 is: 5,838,725,668,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,896,289,533 : 2,879,302,851,876 = 2,879,302,851,876 : x
  2. Step 2: Convert to fraction form
    1,419,896,289,533/2,879,302,851,876 = 2,879,302,851,876/x
  3. Step 3: Cross multiply
    1,419,896,289,533x = 2,879,302,851,876 × 2,879,302,851,876
  4. Step 4: Simplify right side
    1,419,896,289,533x = 8,290,384,912,821,267,231,408,128
  5. Step 5: Solve for x
    x = 8,290,384,912,821,267,231,408,128/1,419,896,289,533
  6. Step 6: Final answer
    x = 5,838,725,668,864.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.