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Finding the Third Proportional to 399,268,553,540 and 887,807,857,646

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Solution

The third proportional to 399,268,553,540 and 887,807,857,646 is: 1,974,116,882,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,268,553,540 : 887,807,857,646 = 887,807,857,646 : x
  2. Step 2: Convert to fraction form
    399,268,553,540/887,807,857,646 = 887,807,857,646/x
  3. Step 3: Cross multiply
    399,268,553,540x = 887,807,857,646 × 887,807,857,646
  4. Step 4: Simplify right side
    399,268,553,540x = 788,202,792,097,980,157,526,016
  5. Step 5: Solve for x
    x = 788,202,792,097,980,157,526,016/399,268,553,540
  6. Step 6: Final answer
    x = 1,974,116,882,257.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.