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Finding the Third Proportional to 6,192,532 and 9,564,912

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Solution

The third proportional to 6,192,532 and 9,564,912 is: 14,773,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192,532 : 9,564,912 = 9,564,912 : x
  2. Step 2: Convert to fraction form
    6,192,532/9,564,912 = 9,564,912/x
  3. Step 3: Cross multiply
    6,192,532x = 9,564,912 × 9,564,912
  4. Step 4: Simplify right side
    6,192,532x = 91,487,541,567,744
  5. Step 5: Solve for x
    x = 91,487,541,567,744/6,192,532
  6. Step 6: Final answer
    x = 14,773,850.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.