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Finding the Third Proportional to 3,785,732 and 8,256,590

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Solution

The third proportional to 3,785,732 and 8,256,590 is: 18,007,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,732 : 8,256,590 = 8,256,590 : x
  2. Step 2: Convert to fraction form
    3,785,732/8,256,590 = 8,256,590/x
  3. Step 3: Cross multiply
    3,785,732x = 8,256,590 × 8,256,590
  4. Step 4: Simplify right side
    3,785,732x = 68,171,278,428,100
  5. Step 5: Solve for x
    x = 68,171,278,428,100/3,785,732
  6. Step 6: Final answer
    x = 18,007,423.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.