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Finding the Third Proportional to 4,022,482,254 and 8,659,725,012

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Solution

The third proportional to 4,022,482,254 and 8,659,725,012 is: 18,642,925,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022,482,254 : 8,659,725,012 = 8,659,725,012 : x
  2. Step 2: Convert to fraction form
    4,022,482,254/8,659,725,012 = 8,659,725,012/x
  3. Step 3: Cross multiply
    4,022,482,254x = 8,659,725,012 × 8,659,725,012
  4. Step 4: Simplify right side
    4,022,482,254x = 74,990,837,283,458,400,256
  5. Step 5: Solve for x
    x = 74,990,837,283,458,400,256/4,022,482,254
  6. Step 6: Final answer
    x = 18,642,925,573.85

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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.