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Finding the Third Proportional to 4,350,741 and 9,331,014

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Solution

The third proportional to 4,350,741 and 9,331,014 is: 20,012,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350,741 : 9,331,014 = 9,331,014 : x
  2. Step 2: Convert to fraction form
    4,350,741/9,331,014 = 9,331,014/x
  3. Step 3: Cross multiply
    4,350,741x = 9,331,014 × 9,331,014
  4. Step 4: Simplify right side
    4,350,741x = 87,067,822,268,196
  5. Step 5: Solve for x
    x = 87,067,822,268,196/4,350,741
  6. Step 6: Final answer
    x = 20,012,182.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.