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Finding the Third Proportional to 194,787,852,006 and 418,890,605,925

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Solution

The third proportional to 194,787,852,006 and 418,890,605,925 is: 900,822,807,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,852,006 : 418,890,605,925 = 418,890,605,925 : x
  2. Step 2: Convert to fraction form
    194,787,852,006/418,890,605,925 = 418,890,605,925/x
  3. Step 3: Cross multiply
    194,787,852,006x = 418,890,605,925 × 418,890,605,925
  4. Step 4: Simplify right side
    194,787,852,006x = 175,469,339,732,213,634,170,880
  5. Step 5: Solve for x
    x = 175,469,339,732,213,634,170,880/194,787,852,006
  6. Step 6: Final answer
    x = 900,822,807,609.22

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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.