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Finding the Third Proportional to 722,049,036 and 1,100,003,346

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Solution

The third proportional to 722,049,036 and 1,100,003,346 is: 1,675,796,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,049,036 : 1,100,003,346 = 1,100,003,346 : x
  2. Step 2: Convert to fraction form
    722,049,036/1,100,003,346 = 1,100,003,346/x
  3. Step 3: Cross multiply
    722,049,036x = 1,100,003,346 × 1,100,003,346
  4. Step 4: Simplify right side
    722,049,036x = 1,210,007,361,211,195,648
  5. Step 5: Solve for x
    x = 1,210,007,361,211,195,648/722,049,036
  6. Step 6: Final answer
    x = 1,675,796,657.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.