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Finding the Third Proportional to 1,735,192,099 and 2,643,445,939

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Solution

The third proportional to 1,735,192,099 and 2,643,445,939 is: 4,027,108,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,192,099 : 2,643,445,939 = 2,643,445,939 : x
  2. Step 2: Convert to fraction form
    1,735,192,099/2,643,445,939 = 2,643,445,939/x
  3. Step 3: Cross multiply
    1,735,192,099x = 2,643,445,939 × 2,643,445,939
  4. Step 4: Simplify right side
    1,735,192,099x = 6,987,806,432,415,591,424
  5. Step 5: Solve for x
    x = 6,987,806,432,415,591,424/1,735,192,099
  6. Step 6: Final answer
    x = 4,027,108,258.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.