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Finding the Third Proportional to 6,846,375.02 and 10,662,148.97

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Solution

The third proportional to 6,846,375.02 and 10,662,148.97 is: 16,604,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,375.02 : 10,662,148.97 = 10,662,148.97 : x
  2. Step 2: Convert to fraction form
    6,846,375.02/10,662,148.97 = 10,662,148.97/x
  3. Step 3: Cross multiply
    6,846,375.02x = 10,662,148.97 × 10,662,148.97
  4. Step 4: Simplify right side
    6,846,375.02x = 113,681,420,631,816.69
  5. Step 5: Solve for x
    x = 113,681,420,631,816.69/6,846,375.02
  6. Step 6: Final answer
    x = 16,604,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.