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Finding the Third Proportional to 4,407,827 and 6,811,213

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Solution

The third proportional to 4,407,827 and 6,811,213 is: 10,525,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,827 : 6,811,213 = 6,811,213 : x
  2. Step 2: Convert to fraction form
    4,407,827/6,811,213 = 6,811,213/x
  3. Step 3: Cross multiply
    4,407,827x = 6,811,213 × 6,811,213
  4. Step 4: Simplify right side
    4,407,827x = 46,392,622,531,369
  5. Step 5: Solve for x
    x = 46,392,622,531,369/4,407,827
  6. Step 6: Final answer
    x = 10,525,055.21

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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.