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Finding the Third Proportional to 1,171,884,409 and 2,504,935,589

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Solution

The third proportional to 1,171,884,409 and 2,504,935,589 is: 5,354,369,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,884,409 : 2,504,935,589 = 2,504,935,589 : x
  2. Step 2: Convert to fraction form
    1,171,884,409/2,504,935,589 = 2,504,935,589/x
  3. Step 3: Cross multiply
    1,171,884,409x = 2,504,935,589 × 2,504,935,589
  4. Step 4: Simplify right side
    1,171,884,409x = 6,274,702,305,038,777,344
  5. Step 5: Solve for x
    x = 6,274,702,305,038,777,344/1,171,884,409
  6. Step 6: Final answer
    x = 5,354,369,643.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.