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Finding the Third Proportional to 27,435,422 and 40,123,204

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Solution

The third proportional to 27,435,422 and 40,123,204 is: 58,678,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435,422 : 40,123,204 = 40,123,204 : x
  2. Step 2: Convert to fraction form
    27,435,422/40,123,204 = 40,123,204/x
  3. Step 3: Cross multiply
    27,435,422x = 40,123,204 × 40,123,204
  4. Step 4: Simplify right side
    27,435,422x = 1,609,871,499,225,616
  5. Step 5: Solve for x
    x = 1,609,871,499,225,616/27,435,422
  6. Step 6: Final answer
    x = 58,678,576.16

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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.