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Finding the Third Proportional to 216,186,839,620 and 464,909,055,147

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Solution

The third proportional to 216,186,839,620 and 464,909,055,147 is: 999,785,324,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,186,839,620 : 464,909,055,147 = 464,909,055,147 : x
  2. Step 2: Convert to fraction form
    216,186,839,620/464,909,055,147 = 464,909,055,147/x
  3. Step 3: Cross multiply
    216,186,839,620x = 464,909,055,147 × 464,909,055,147
  4. Step 4: Simplify right side
    216,186,839,620x = 216,140,429,557,676,298,469,376
  5. Step 5: Solve for x
    x = 216,140,429,557,676,298,469,376/216,186,839,620
  6. Step 6: Final answer
    x = 999,785,324,294.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.