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Finding the Third Proportional to 5,189,042,844 and 7,749,560,880

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Solution

The third proportional to 5,189,042,844 and 7,749,560,880 is: 11,573,559,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,042,844 : 7,749,560,880 = 7,749,560,880 : x
  2. Step 2: Convert to fraction form
    5,189,042,844/7,749,560,880 = 7,749,560,880/x
  3. Step 3: Cross multiply
    5,189,042,844x = 7,749,560,880 × 7,749,560,880
  4. Step 4: Simplify right side
    5,189,042,844x = 60,055,693,832,826,372,096
  5. Step 5: Solve for x
    x = 60,055,693,832,826,372,096/5,189,042,844
  6. Step 6: Final answer
    x = 11,573,559,062.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.