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Finding the Third Proportional to 35,542,944 and 51,967,200

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Solution

The third proportional to 35,542,944 and 51,967,200 is: 75,981,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542,944 : 51,967,200 = 51,967,200 : x
  2. Step 2: Convert to fraction form
    35,542,944/51,967,200 = 51,967,200/x
  3. Step 3: Cross multiply
    35,542,944x = 51,967,200 × 51,967,200
  4. Step 4: Simplify right side
    35,542,944x = 2,700,589,875,840,000
  5. Step 5: Solve for x
    x = 2,700,589,875,840,000/35,542,944
  6. Step 6: Final answer
    x = 75,981,040.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.