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Finding the Third Proportional to 1,448,670,827 and 3,138,008,467

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Solution

The third proportional to 1,448,670,827 and 3,138,008,467 is: 6,797,332,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,670,827 : 3,138,008,467 = 3,138,008,467 : x
  2. Step 2: Convert to fraction form
    1,448,670,827/3,138,008,467 = 3,138,008,467/x
  3. Step 3: Cross multiply
    1,448,670,827x = 3,138,008,467 × 3,138,008,467
  4. Step 4: Simplify right side
    1,448,670,827x = 9,847,097,138,963,689,472
  5. Step 5: Solve for x
    x = 9,847,097,138,963,689,472/1,448,670,827
  6. Step 6: Final answer
    x = 6,797,332,392.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.