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Finding the Third Proportional to 6,111,616.50 and 12,951,774

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Solution

The third proportional to 6,111,616.50 and 12,951,774 is: 27,447,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,616.50 : 12,951,774 = 12,951,774 : x
  2. Step 2: Convert to fraction form
    6,111,616.50/12,951,774 = 12,951,774/x
  3. Step 3: Cross multiply
    6,111,616.50x = 12,951,774 × 12,951,774
  4. Step 4: Simplify right side
    6,111,616.50x = 167,748,449,747,076
  5. Step 5: Solve for x
    x = 167,748,449,747,076/6,111,616.50
  6. Step 6: Final answer
    x = 27,447,476.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.