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Finding the Third Proportional to 1,212,296,342 and 2,613,819,338

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Solution

The third proportional to 1,212,296,342 and 2,613,819,338 is: 5,635,628,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,296,342 : 2,613,819,338 = 2,613,819,338 : x
  2. Step 2: Convert to fraction form
    1,212,296,342/2,613,819,338 = 2,613,819,338/x
  3. Step 3: Cross multiply
    1,212,296,342x = 2,613,819,338 × 2,613,819,338
  4. Step 4: Simplify right side
    1,212,296,342x = 6,832,051,531,702,758,400
  5. Step 5: Solve for x
    x = 6,832,051,531,702,758,400/1,212,296,342
  6. Step 6: Final answer
    x = 5,635,628,265.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.