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Finding the Third Proportional to 8,884,920,505,647 and 18,019,664,774,078

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Solution

The third proportional to 8,884,920,505,647 and 18,019,664,774,078 is: 36,546,001,549,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884,920,505,647 : 18,019,664,774,078 = 18,019,664,774,078 : x
  2. Step 2: Convert to fraction form
    8,884,920,505,647/18,019,664,774,078 = 18,019,664,774,078/x
  3. Step 3: Cross multiply
    8,884,920,505,647x = 18,019,664,774,078 × 18,019,664,774,078
  4. Step 4: Simplify right side
    8,884,920,505,647x = 324,708,318,570,147,539,530,547,200
  5. Step 5: Solve for x
    x = 324,708,318,570,147,539,530,547,200/8,884,920,505,647
  6. Step 6: Final answer
    x = 36,546,001,549,903.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.