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Finding the Third Proportional to 1,212,296,339 and 2,613,819,334

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Solution

The third proportional to 1,212,296,339 and 2,613,819,334 is: 5,635,628,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,296,339 : 2,613,819,334 = 2,613,819,334 : x
  2. Step 2: Convert to fraction form
    1,212,296,339/2,613,819,334 = 2,613,819,334/x
  3. Step 3: Cross multiply
    1,212,296,339x = 2,613,819,334 × 2,613,819,334
  4. Step 4: Simplify right side
    1,212,296,339x = 6,832,051,510,792,203,264
  5. Step 5: Solve for x
    x = 6,832,051,510,792,203,264/1,212,296,339
  6. Step 6: Final answer
    x = 5,635,628,262.66

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Why These Related Problems?

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