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Finding the Third Proportional to 194,787,852,004 and 418,890,605,921

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Solution

The third proportional to 194,787,852,004 and 418,890,605,921 is: 900,822,807,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,852,004 : 418,890,605,921 = 418,890,605,921 : x
  2. Step 2: Convert to fraction form
    194,787,852,004/418,890,605,921 = 418,890,605,921/x
  3. Step 3: Cross multiply
    194,787,852,004x = 418,890,605,921 × 418,890,605,921
  4. Step 4: Simplify right side
    194,787,852,004x = 175,469,339,728,862,519,492,608
  5. Step 5: Solve for x
    x = 175,469,339,728,862,519,492,608/194,787,852,004
  6. Step 6: Final answer
    x = 900,822,807,601.26

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Why These Related Problems?

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