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Finding the Third Proportional to 10,839,607.31 and 15,959,996.37

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Solution

The third proportional to 10,839,607.31 and 15,959,996.37 is: 23,499,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839,607.31 : 15,959,996.37 = 15,959,996.37 : x
  2. Step 2: Convert to fraction form
    10,839,607.31/15,959,996.37 = 15,959,996.37/x
  3. Step 3: Cross multiply
    10,839,607.31x = 15,959,996.37 × 15,959,996.37
  4. Step 4: Simplify right side
    10,839,607.31x = 254,721,484,040,654.12
  5. Step 5: Solve for x
    x = 254,721,484,040,654.12/10,839,607.31
  6. Step 6: Final answer
    x = 23,499,143.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.