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Finding the Third Proportional to 1,542,911,032 and 3,380,591,207

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Solution

The third proportional to 1,542,911,032 and 3,380,591,207 is: 7,407,035,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,911,032 : 3,380,591,207 = 3,380,591,207 : x
  2. Step 2: Convert to fraction form
    1,542,911,032/3,380,591,207 = 3,380,591,207/x
  3. Step 3: Cross multiply
    1,542,911,032x = 3,380,591,207 × 3,380,591,207
  4. Step 4: Simplify right side
    1,542,911,032x = 11,428,396,908,845,717,504
  5. Step 5: Solve for x
    x = 11,428,396,908,845,717,504/1,542,911,032
  6. Step 6: Final answer
    x = 7,407,035,578.73

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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.