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Finding the Third Proportional to 4,718,191,869 and 7,325,892,346

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Solution

The third proportional to 4,718,191,869 and 7,325,892,346 is: 11,374,844,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718,191,869 : 7,325,892,346 = 7,325,892,346 : x
  2. Step 2: Convert to fraction form
    4,718,191,869/7,325,892,346 = 7,325,892,346/x
  3. Step 3: Cross multiply
    4,718,191,869x = 7,325,892,346 × 7,325,892,346
  4. Step 4: Simplify right side
    4,718,191,869x = 53,668,698,665,181,380,608
  5. Step 5: Solve for x
    x = 53,668,698,665,181,380,608/4,718,191,869
  6. Step 6: Final answer
    x = 11,374,844,464.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.