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Finding the Third Proportional to 1,399,887,229.50 and 2,999,449,255.97

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Solution

The third proportional to 1,399,887,229.50 and 2,999,449,255.97 is: 6,426,728,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,887,229.50 : 2,999,449,255.97 = 2,999,449,255.97 : x
  2. Step 2: Convert to fraction form
    1,399,887,229.50/2,999,449,255.97 = 2,999,449,255.97/x
  3. Step 3: Cross multiply
    1,399,887,229.50x = 2,999,449,255.97 × 2,999,449,255.97
  4. Step 4: Simplify right side
    1,399,887,229.50x = 8,996,695,839,131,788,288
  5. Step 5: Solve for x
    x = 8,996,695,839,131,788,288/1,399,887,229.50
  6. Step 6: Final answer
    x = 6,426,728,988.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.