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Finding the Third Proportional to 6,775,227,474 and 14,676,046,986

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Solution

The third proportional to 6,775,227,474 and 14,676,046,986 is: 31,790,276,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775,227,474 : 14,676,046,986 = 14,676,046,986 : x
  2. Step 2: Convert to fraction form
    6,775,227,474/14,676,046,986 = 14,676,046,986/x
  3. Step 3: Cross multiply
    6,775,227,474x = 14,676,046,986 × 14,676,046,986
  4. Step 4: Simplify right side
    6,775,227,474x = 215,386,355,135,279,693,824
  5. Step 5: Solve for x
    x = 215,386,355,135,279,693,824/6,775,227,474
  6. Step 6: Final answer
    x = 31,790,276,557.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.