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Finding the Third Proportional to 4,627,385 and 9,965,302

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Solution

The third proportional to 4,627,385 and 9,965,302 is: 21,460,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627,385 : 9,965,302 = 9,965,302 : x
  2. Step 2: Convert to fraction form
    4,627,385/9,965,302 = 9,965,302/x
  3. Step 3: Cross multiply
    4,627,385x = 9,965,302 × 9,965,302
  4. Step 4: Simplify right side
    4,627,385x = 99,307,243,951,204
  5. Step 5: Solve for x
    x = 99,307,243,951,204/4,627,385
  6. Step 6: Final answer
    x = 21,460,769.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.