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Finding the Third Proportional to 1,283,160,327,412 and 2,719,303,320,418

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Solution

The third proportional to 1,283,160,327,412 and 2,719,303,320,418 is: 5,762,811,077,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,160,327,412 : 2,719,303,320,418 = 2,719,303,320,418 : x
  2. Step 2: Convert to fraction form
    1,283,160,327,412/2,719,303,320,418 = 2,719,303,320,418/x
  3. Step 3: Cross multiply
    1,283,160,327,412x = 2,719,303,320,418 × 2,719,303,320,418
  4. Step 4: Simplify right side
    1,283,160,327,412x = 7,394,610,548,436,359,576,551,424
  5. Step 5: Solve for x
    x = 7,394,610,548,436,359,576,551,424/1,283,160,327,412
  6. Step 6: Final answer
    x = 5,762,811,077,046.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.