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Finding the Third Proportional to 383,578,137.88 and 827,028,772.38

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Solution

The third proportional to 383,578,137.88 and 827,028,772.38 is: 1,783,148,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,578,137.88 : 827,028,772.38 = 827,028,772.38 : x
  2. Step 2: Convert to fraction form
    383,578,137.88/827,028,772.38 = 827,028,772.38/x
  3. Step 3: Cross multiply
    383,578,137.88x = 827,028,772.38 × 827,028,772.38
  4. Step 4: Simplify right side
    383,578,137.88x = 683,976,590,349,084,032
  5. Step 5: Solve for x
    x = 683,976,590,349,084,032/383,578,137.88
  6. Step 6: Final answer
    x = 1,783,148,002.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.