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Finding the Third Proportional to 399,268,553,542 and 887,807,857,650

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Solution

The third proportional to 399,268,553,542 and 887,807,857,650 is: 1,974,116,882,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,268,553,542 : 887,807,857,650 = 887,807,857,650 : x
  2. Step 2: Convert to fraction form
    399,268,553,542/887,807,857,650 = 887,807,857,650/x
  3. Step 3: Cross multiply
    399,268,553,542x = 887,807,857,650 × 887,807,857,650
  4. Step 4: Simplify right side
    399,268,553,542x = 788,202,792,105,082,691,256,320
  5. Step 5: Solve for x
    x = 788,202,792,105,082,691,256,320/399,268,553,542
  6. Step 6: Final answer
    x = 1,974,116,882,265.74

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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.