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Finding the Third Proportional to 6,192,551 and 9,564,941

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Solution

The third proportional to 6,192,551 and 9,564,941 is: 14,773,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192,551 : 9,564,941 = 9,564,941 : x
  2. Step 2: Convert to fraction form
    6,192,551/9,564,941 = 9,564,941/x
  3. Step 3: Cross multiply
    6,192,551x = 9,564,941 × 9,564,941
  4. Step 4: Simplify right side
    6,192,551x = 91,488,096,333,481
  5. Step 5: Solve for x
    x = 91,488,096,333,481/6,192,551
  6. Step 6: Final answer
    x = 14,773,894.69

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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.