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Finding the Third Proportional to 4,327,634 and 6,727,275

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Solution

The third proportional to 4,327,634 and 6,727,275 is: 10,457,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327,634 : 6,727,275 = 6,727,275 : x
  2. Step 2: Convert to fraction form
    4,327,634/6,727,275 = 6,727,275/x
  3. Step 3: Cross multiply
    4,327,634x = 6,727,275 × 6,727,275
  4. Step 4: Simplify right side
    4,327,634x = 45,256,228,925,625
  5. Step 5: Solve for x
    x = 45,256,228,925,625/4,327,634
  6. Step 6: Final answer
    x = 10,457,499.16

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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.