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Finding the Third Proportional to 11,744,326.69 and 17,967,497.06

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Solution

The third proportional to 11,744,326.69 and 17,967,497.06 is: 27,488,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,326.69 : 17,967,497.06 = 17,967,497.06 : x
  2. Step 2: Convert to fraction form
    11,744,326.69/17,967,497.06 = 17,967,497.06/x
  3. Step 3: Cross multiply
    11,744,326.69x = 17,967,497.06 × 17,967,497.06
  4. Step 4: Simplify right side
    11,744,326.69x = 322,830,950,690,946.12
  5. Step 5: Solve for x
    x = 322,830,950,690,946.12/11,744,326.69
  6. Step 6: Final answer
    x = 27,488,246.82

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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.