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Finding the Third Proportional to 5,162,873,544 and 7,805,777,004

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Solution

The third proportional to 5,162,873,544 and 7,805,777,004 is: 11,801,597,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162,873,544 : 7,805,777,004 = 7,805,777,004 : x
  2. Step 2: Convert to fraction form
    5,162,873,544/7,805,777,004 = 7,805,777,004/x
  3. Step 3: Cross multiply
    5,162,873,544x = 7,805,777,004 × 7,805,777,004
  4. Step 4: Simplify right side
    5,162,873,544x = 60,930,154,636,175,212,544
  5. Step 5: Solve for x
    x = 60,930,154,636,175,212,544/5,162,873,544
  6. Step 6: Final answer
    x = 11,801,597,330.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.