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Finding the Third Proportional to 4,057,111 and 6,318,310

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Solution

The third proportional to 4,057,111 and 6,318,310 is: 9,839,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,111 : 6,318,310 = 6,318,310 : x
  2. Step 2: Convert to fraction form
    4,057,111/6,318,310 = 6,318,310/x
  3. Step 3: Cross multiply
    4,057,111x = 6,318,310 × 6,318,310
  4. Step 4: Simplify right side
    4,057,111x = 39,921,041,256,100
  5. Step 5: Solve for x
    x = 39,921,041,256,100/4,057,111
  6. Step 6: Final answer
    x = 9,839,770.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.