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Finding the Third Proportional to 6,381,746 and 9,577,035

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Solution

The third proportional to 6,381,746 and 9,577,035 is: 14,372,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,746 : 9,577,035 = 9,577,035 : x
  2. Step 2: Convert to fraction form
    6,381,746/9,577,035 = 9,577,035/x
  3. Step 3: Cross multiply
    6,381,746x = 9,577,035 × 9,577,035
  4. Step 4: Simplify right side
    6,381,746x = 91,719,599,391,225
  5. Step 5: Solve for x
    x = 91,719,599,391,225/6,381,746
  6. Step 6: Final answer
    x = 14,372,179.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.