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Finding the Third Proportional to 43,880,814,880 and 66,847,887,672

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Solution

The third proportional to 43,880,814,880 and 66,847,887,672 is: 101,835,850,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,880,814,880 : 66,847,887,672 = 66,847,887,672 : x
  2. Step 2: Convert to fraction form
    43,880,814,880/66,847,887,672 = 66,847,887,672/x
  3. Step 3: Cross multiply
    43,880,814,880x = 66,847,887,672 × 66,847,887,672
  4. Step 4: Simplify right side
    43,880,814,880x = 4,468,640,086,208,329,809,920
  5. Step 5: Solve for x
    x = 4,468,640,086,208,329,809,920/43,880,814,880
  6. Step 6: Final answer
    x = 101,835,850,095.96

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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.