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Finding the Third Proportional to 9,406,934 and 13,747,280

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Solution

The third proportional to 9,406,934 and 13,747,280 is: 20,090,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406,934 : 13,747,280 = 13,747,280 : x
  2. Step 2: Convert to fraction form
    9,406,934/13,747,280 = 13,747,280/x
  3. Step 3: Cross multiply
    9,406,934x = 13,747,280 × 13,747,280
  4. Step 4: Simplify right side
    9,406,934x = 188,987,707,398,400
  5. Step 5: Solve for x
    x = 188,987,707,398,400/9,406,934
  6. Step 6: Final answer
    x = 20,090,255.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.