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Finding the Third Proportional to 472,965,178,512 and 979,455,783,648

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Solution

The third proportional to 472,965,178,512 and 979,455,783,648 is: 2,028,338,820,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,965,178,512 : 979,455,783,648 = 979,455,783,648 : x
  2. Step 2: Convert to fraction form
    472,965,178,512/979,455,783,648 = 979,455,783,648/x
  3. Step 3: Cross multiply
    472,965,178,512x = 979,455,783,648 × 979,455,783,648
  4. Step 4: Simplify right side
    472,965,178,512x = 959,333,632,121,517,769,752,576
  5. Step 5: Solve for x
    x = 959,333,632,121,517,769,752,576/472,965,178,512
  6. Step 6: Final answer
    x = 2,028,338,820,079.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.