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Finding the Third Proportional to 11,748,834 and 17,970,963

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Solution

The third proportional to 11,748,834 and 17,970,963 is: 27,488,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748,834 : 17,970,963 = 17,970,963 : x
  2. Step 2: Convert to fraction form
    11,748,834/17,970,963 = 17,970,963/x
  3. Step 3: Cross multiply
    11,748,834x = 17,970,963 × 17,970,963
  4. Step 4: Simplify right side
    11,748,834x = 322,955,511,147,369
  5. Step 5: Solve for x
    x = 322,955,511,147,369/11,748,834
  6. Step 6: Final answer
    x = 27,488,303.19

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Why These Related Problems?

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