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Finding the Third Proportional to 5,485,101,896 and 8,355,986,004

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Solution

The third proportional to 5,485,101,896 and 8,355,986,004 is: 12,729,481,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485,101,896 : 8,355,986,004 = 8,355,986,004 : x
  2. Step 2: Convert to fraction form
    5,485,101,896/8,355,986,004 = 8,355,986,004/x
  3. Step 3: Cross multiply
    5,485,101,896x = 8,355,986,004 × 8,355,986,004
  4. Step 4: Simplify right side
    5,485,101,896x = 69,822,502,099,043,885,056
  5. Step 5: Solve for x
    x = 69,822,502,099,043,885,056/5,485,101,896
  6. Step 6: Final answer
    x = 12,729,481,315.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.