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Finding the Third Proportional to 6,524,992 and 9,597,088

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Solution

The third proportional to 6,524,992 and 9,597,088 is: 14,115,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,992 : 9,597,088 = 9,597,088 : x
  2. Step 2: Convert to fraction form
    6,524,992/9,597,088 = 9,597,088/x
  3. Step 3: Cross multiply
    6,524,992x = 9,597,088 × 9,597,088
  4. Step 4: Simplify right side
    6,524,992x = 92,104,098,079,744
  5. Step 5: Solve for x
    x = 92,104,098,079,744/6,524,992
  6. Step 6: Final answer
    x = 14,115,587.89

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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.