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Finding the Third Proportional to 1,211,485,444 and 2,635,235,600

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Solution

The third proportional to 1,211,485,444 and 2,635,235,600 is: 5,732,191,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,485,444 : 2,635,235,600 = 2,635,235,600 : x
  2. Step 2: Convert to fraction form
    1,211,485,444/2,635,235,600 = 2,635,235,600/x
  3. Step 3: Cross multiply
    1,211,485,444x = 2,635,235,600 × 2,635,235,600
  4. Step 4: Simplify right side
    1,211,485,444x = 6,944,466,667,507,359,744
  5. Step 5: Solve for x
    x = 6,944,466,667,507,359,744/1,211,485,444
  6. Step 6: Final answer
    x = 5,732,191,585.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.