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Finding the Third Proportional to 1,077,876,852 and 2,338,702,578

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Solution

The third proportional to 1,077,876,852 and 2,338,702,578 is: 5,074,354,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,876,852 : 2,338,702,578 = 2,338,702,578 : x
  2. Step 2: Convert to fraction form
    1,077,876,852/2,338,702,578 = 2,338,702,578/x
  3. Step 3: Cross multiply
    1,077,876,852x = 2,338,702,578 × 2,338,702,578
  4. Step 4: Simplify right side
    1,077,876,852x = 5,469,529,748,343,845,888
  5. Step 5: Solve for x
    x = 5,469,529,748,343,845,888/1,077,876,852
  6. Step 6: Final answer
    x = 5,074,354,958.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.