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Finding the Third Proportional to 43,614,138 and 67,524,276

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Solution

The third proportional to 43,614,138 and 67,524,276 is: 104,542,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,614,138 : 67,524,276 = 67,524,276 : x
  2. Step 2: Convert to fraction form
    43,614,138/67,524,276 = 67,524,276/x
  3. Step 3: Cross multiply
    43,614,138x = 67,524,276 × 67,524,276
  4. Step 4: Simplify right side
    43,614,138x = 4,559,527,849,324,176
  5. Step 5: Solve for x
    x = 4,559,527,849,324,176/43,614,138
  6. Step 6: Final answer
    x = 104,542,427.26

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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.