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Finding the Third Proportional to 43,289,517 and 67,086,831

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Solution

The third proportional to 43,289,517 and 67,086,831 is: 103,966,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,289,517 : 67,086,831 = 67,086,831 : x
  2. Step 2: Convert to fraction form
    43,289,517/67,086,831 = 67,086,831/x
  3. Step 3: Cross multiply
    43,289,517x = 67,086,831 × 67,086,831
  4. Step 4: Simplify right side
    43,289,517x = 4,500,642,893,622,561
  5. Step 5: Solve for x
    x = 4,500,642,893,622,561/43,289,517
  6. Step 6: Final answer
    x = 103,966,114.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.