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Finding the Third Proportional to 12,299,824.69 and 27,009,996.75

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Solution

The third proportional to 12,299,824.69 and 27,009,996.75 is: 59,313,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299,824.69 : 27,009,996.75 = 27,009,996.75 : x
  2. Step 2: Convert to fraction form
    12,299,824.69/27,009,996.75 = 27,009,996.75/x
  3. Step 3: Cross multiply
    12,299,824.69x = 27,009,996.75 × 27,009,996.75
  4. Step 4: Simplify right side
    12,299,824.69x = 729,539,924,435,010.50
  5. Step 5: Solve for x
    x = 729,539,924,435,010.50/12,299,824.69
  6. Step 6: Final answer
    x = 59,313,034.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.