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Finding the Third Proportional to 9,392,005.69 and 14,367,316.78

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Solution

The third proportional to 9,392,005.69 and 14,367,316.78 is: 21,978,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392,005.69 : 14,367,316.78 = 14,367,316.78 : x
  2. Step 2: Convert to fraction form
    9,392,005.69/14,367,316.78 = 14,367,316.78/x
  3. Step 3: Cross multiply
    9,392,005.69x = 14,367,316.78 × 14,367,316.78
  4. Step 4: Simplify right side
    9,392,005.69x = 206,419,791,492,787.88
  5. Step 5: Solve for x
    x = 206,419,791,492,787.88/9,392,005.69
  6. Step 6: Final answer
    x = 21,978,243.88

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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.