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Finding the Third Proportional to 1,448,670,825 and 3,138,008,463

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Solution

The third proportional to 1,448,670,825 and 3,138,008,463 is: 6,797,332,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,670,825 : 3,138,008,463 = 3,138,008,463 : x
  2. Step 2: Convert to fraction form
    1,448,670,825/3,138,008,463 = 3,138,008,463/x
  3. Step 3: Cross multiply
    1,448,670,825x = 3,138,008,463 × 3,138,008,463
  4. Step 4: Simplify right side
    1,448,670,825x = 9,847,097,113,859,622,912
  5. Step 5: Solve for x
    x = 9,847,097,113,859,622,912/1,448,670,825
  6. Step 6: Final answer
    x = 6,797,332,384.92

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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.