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Finding the Third Proportional to 1,289,599,785 and 2,763,211,077

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Solution

The third proportional to 1,289,599,785 and 2,763,211,077 is: 5,920,701,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,599,785 : 2,763,211,077 = 2,763,211,077 : x
  2. Step 2: Convert to fraction form
    1,289,599,785/2,763,211,077 = 2,763,211,077/x
  3. Step 3: Cross multiply
    1,289,599,785x = 2,763,211,077 × 2,763,211,077
  4. Step 4: Simplify right side
    1,289,599,785x = 7,635,335,456,055,499,776
  5. Step 5: Solve for x
    x = 7,635,335,456,055,499,776/1,289,599,785
  6. Step 6: Final answer
    x = 5,920,701,557.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.