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Finding the Third Proportional to 1,073,591,331 and 2,348,145,606

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Solution

The third proportional to 1,073,591,331 and 2,348,145,606 is: 5,135,834,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,591,331 : 2,348,145,606 = 2,348,145,606 : x
  2. Step 2: Convert to fraction form
    1,073,591,331/2,348,145,606 = 2,348,145,606/x
  3. Step 3: Cross multiply
    1,073,591,331x = 2,348,145,606 × 2,348,145,606
  4. Step 4: Simplify right side
    1,073,591,331x = 5,513,787,786,977,106,944
  5. Step 5: Solve for x
    x = 5,513,787,786,977,106,944/1,073,591,331
  6. Step 6: Final answer
    x = 5,135,834,863.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.