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Finding the Third Proportional to 3,651,527.25 and 5,683,942.13

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Solution

The third proportional to 3,651,527.25 and 5,683,942.13 is: 8,847,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651,527.25 : 5,683,942.13 = 5,683,942.13 : x
  2. Step 2: Convert to fraction form
    3,651,527.25/5,683,942.13 = 5,683,942.13/x
  3. Step 3: Cross multiply
    3,651,527.25x = 5,683,942.13 × 5,683,942.13
  4. Step 4: Simplify right side
    3,651,527.25x = 32,307,198,080,349.52
  5. Step 5: Solve for x
    x = 32,307,198,080,349.52/3,651,527.25
  6. Step 6: Final answer
    x = 8,847,585.10

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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.