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Finding the Third Proportional to 789,781,577,028.75 and 1,698,422,565,584.60

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Solution

The third proportional to 789,781,577,028.75 and 1,698,422,565,584.60 is: 3,652,451,886,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,781,577,028.75 : 1,698,422,565,584.60 = 1,698,422,565,584.60 : x
  2. Step 2: Convert to fraction form
    789,781,577,028.75/1,698,422,565,584.60 = 1,698,422,565,584.60/x
  3. Step 3: Cross multiply
    789,781,577,028.75x = 1,698,422,565,584.60 × 1,698,422,565,584.60
  4. Step 4: Simplify right side
    789,781,577,028.75x = 2,884,639,211,286,975,140,069,376
  5. Step 5: Solve for x
    x = 2,884,639,211,286,975,140,069,376/789,781,577,028.75
  6. Step 6: Final answer
    x = 3,652,451,886,937.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.