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Finding the Third Proportional to 5,485,101,734 and 8,355,985,761

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Solution

The third proportional to 5,485,101,734 and 8,355,985,761 is: 12,729,480,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485,101,734 : 8,355,985,761 = 8,355,985,761 : x
  2. Step 2: Convert to fraction form
    5,485,101,734/8,355,985,761 = 8,355,985,761/x
  3. Step 3: Cross multiply
    5,485,101,734x = 8,355,985,761 × 8,355,985,761
  4. Step 4: Simplify right side
    5,485,101,734x = 69,822,498,038,034,751,488
  5. Step 5: Solve for x
    x = 69,822,498,038,034,751,488/5,485,101,734
  6. Step 6: Final answer
    x = 12,729,480,951.14

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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.