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Finding the Third Proportional to 525,471,310.13 and 1,155,836,197.69

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Solution

The third proportional to 525,471,310.13 and 1,155,836,197.69 is: 2,542,398,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,471,310.13 : 1,155,836,197.69 = 1,155,836,197.69 : x
  2. Step 2: Convert to fraction form
    525,471,310.13/1,155,836,197.69 = 1,155,836,197.69/x
  3. Step 3: Cross multiply
    525,471,310.13x = 1,155,836,197.69 × 1,155,836,197.69
  4. Step 4: Simplify right side
    525,471,310.13x = 1,335,957,315,884,697,600
  5. Step 5: Solve for x
    x = 1,335,957,315,884,697,600/525,471,310.13
  6. Step 6: Final answer
    x = 2,542,398,205.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.