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Finding the Third Proportional to 769,872,796 and 1,796,431,942

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Solution

The third proportional to 769,872,796 and 1,796,431,942 is: 4,191,819,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,872,796 : 1,796,431,942 = 1,796,431,942 : x
  2. Step 2: Convert to fraction form
    769,872,796/1,796,431,942 = 1,796,431,942/x
  3. Step 3: Cross multiply
    769,872,796x = 1,796,431,942 × 1,796,431,942
  4. Step 4: Simplify right side
    769,872,796x = 3,227,167,722,237,891,584
  5. Step 5: Solve for x
    x = 3,227,167,722,237,891,584/769,872,796
  6. Step 6: Final answer
    x = 4,191,819,400.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.