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Finding the Third Proportional to 194,787,852,009 and 418,890,605,931

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Solution

The third proportional to 194,787,852,009 and 418,890,605,931 is: 900,822,807,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,787,852,009 : 418,890,605,931 = 418,890,605,931 : x
  2. Step 2: Convert to fraction form
    194,787,852,009/418,890,605,931 = 418,890,605,931/x
  3. Step 3: Cross multiply
    194,787,852,009x = 418,890,605,931 × 418,890,605,931
  4. Step 4: Simplify right side
    194,787,852,009x = 175,469,339,737,240,322,965,504
  5. Step 5: Solve for x
    x = 175,469,339,737,240,322,965,504/194,787,852,009
  6. Step 6: Final answer
    x = 900,822,807,621.15

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1.5x scale

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.