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Finding the Third Proportional to 911,591,032.15 and 2,110,201,851.59

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Solution

The third proportional to 911,591,032.15 and 2,110,201,851.59 is: 4,884,813,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,591,032.15 : 2,110,201,851.59 = 2,110,201,851.59 : x
  2. Step 2: Convert to fraction form
    911,591,032.15/2,110,201,851.59 = 2,110,201,851.59/x
  3. Step 3: Cross multiply
    911,591,032.15x = 2,110,201,851.59 × 2,110,201,851.59
  4. Step 4: Simplify right side
    911,591,032.15x = 4,452,951,854,436,560,896
  5. Step 5: Solve for x
    x = 4,452,951,854,436,560,896/911,591,032.15
  6. Step 6: Final answer
    x = 4,884,813,142.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.