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Finding the Third Proportional to 4,327,632 and 6,727,272

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Solution

The third proportional to 4,327,632 and 6,727,272 is: 10,457,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327,632 : 6,727,272 = 6,727,272 : x
  2. Step 2: Convert to fraction form
    4,327,632/6,727,272 = 6,727,272/x
  3. Step 3: Cross multiply
    4,327,632x = 6,727,272 × 6,727,272
  4. Step 4: Simplify right side
    4,327,632x = 45,256,188,561,984
  5. Step 5: Solve for x
    x = 45,256,188,561,984/4,327,632
  6. Step 6: Final answer
    x = 10,457,494.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.