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Finding the Third Proportional to 11,748,800 and 17,960,886

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Solution

The third proportional to 11,748,800 and 17,960,886 is: 27,457,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748,800 : 17,960,886 = 17,960,886 : x
  2. Step 2: Convert to fraction form
    11,748,800/17,960,886 = 17,960,886/x
  3. Step 3: Cross multiply
    11,748,800x = 17,960,886 × 17,960,886
  4. Step 4: Simplify right side
    11,748,800x = 322,593,425,904,996
  5. Step 5: Solve for x
    x = 322,593,425,904,996/11,748,800
  6. Step 6: Final answer
    x = 27,457,563.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.