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Finding the Third Proportional to 6,192,536 and 9,564,918

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Solution

The third proportional to 6,192,536 and 9,564,918 is: 14,773,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192,536 : 9,564,918 = 9,564,918 : x
  2. Step 2: Convert to fraction form
    6,192,536/9,564,918 = 9,564,918/x
  3. Step 3: Cross multiply
    6,192,536x = 9,564,918 × 9,564,918
  4. Step 4: Simplify right side
    6,192,536x = 91,487,656,346,724
  5. Step 5: Solve for x
    x = 91,487,656,346,724/6,192,536
  6. Step 6: Final answer
    x = 14,773,859.42

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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.