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Finding the Third Proportional to 11,006,634 and 16,676,163

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Solution

The third proportional to 11,006,634 and 16,676,163 is: 25,266,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006,634 : 16,676,163 = 16,676,163 : x
  2. Step 2: Convert to fraction form
    11,006,634/16,676,163 = 16,676,163/x
  3. Step 3: Cross multiply
    11,006,634x = 16,676,163 × 16,676,163
  4. Step 4: Simplify right side
    11,006,634x = 278,094,412,402,569
  5. Step 5: Solve for x
    x = 278,094,412,402,569/11,006,634
  6. Step 6: Final answer
    x = 25,266,072.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.