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Finding the Third Proportional to 194,787,852,009 and 418,890,605,934

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Solution

The third proportional to 194,787,852,009 and 418,890,605,934 is: 900,822,807,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,852,009 : 418,890,605,934 = 418,890,605,934 : x
  2. Step 2: Convert to fraction form
    194,787,852,009/418,890,605,934 = 418,890,605,934/x
  3. Step 3: Cross multiply
    194,787,852,009x = 418,890,605,934 × 418,890,605,934
  4. Step 4: Simplify right side
    194,787,852,009x = 175,469,339,739,753,684,140,032
  5. Step 5: Solve for x
    x = 175,469,339,739,753,684,140,032/194,787,852,009
  6. Step 6: Final answer
    x = 900,822,807,634.05

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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.