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Finding the Third Proportional to 1,289,505,825 and 2,762,912,997

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Solution

The third proportional to 1,289,505,825 and 2,762,912,997 is: 5,919,855,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,505,825 : 2,762,912,997 = 2,762,912,997 : x
  2. Step 2: Convert to fraction form
    1,289,505,825/2,762,912,997 = 2,762,912,997/x
  3. Step 3: Cross multiply
    1,289,505,825x = 2,762,912,997 × 2,762,912,997
  4. Step 4: Simplify right side
    1,289,505,825x = 7,633,688,228,991,521,792
  5. Step 5: Solve for x
    x = 7,633,688,228,991,521,792/1,289,505,825
  6. Step 6: Final answer
    x = 5,919,855,560.94

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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.