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Finding the Third Proportional to 10,839,381.19 and 15,959,665.41

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Solution

The third proportional to 10,839,381.19 and 15,959,665.41 is: 23,498,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839,381.19 : 15,959,665.41 = 15,959,665.41 : x
  2. Step 2: Convert to fraction form
    10,839,381.19/15,959,665.41 = 15,959,665.41/x
  3. Step 3: Cross multiply
    10,839,381.19x = 15,959,665.41 × 15,959,665.41
  4. Step 4: Simplify right side
    10,839,381.19x = 254,710,919,879,452.97
  5. Step 5: Solve for x
    x = 254,710,919,879,452.97/10,839,381.19
  6. Step 6: Final answer
    x = 23,498,658.78

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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.