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Finding the Third Proportional to 4,123,836 and 8,623,233

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Solution

The third proportional to 4,123,836 and 8,623,233 is: 18,031,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,836 : 8,623,233 = 8,623,233 : x
  2. Step 2: Convert to fraction form
    4,123,836/8,623,233 = 8,623,233/x
  3. Step 3: Cross multiply
    4,123,836x = 8,623,233 × 8,623,233
  4. Step 4: Simplify right side
    4,123,836x = 74,360,147,372,289
  5. Step 5: Solve for x
    x = 74,360,147,372,289/4,123,836
  6. Step 6: Final answer
    x = 18,031,790.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.