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Finding the Third Proportional to 23,267,344 and 49,769,504

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Solution

The third proportional to 23,267,344 and 49,769,504 is: 106,458,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267,344 : 49,769,504 = 49,769,504 : x
  2. Step 2: Convert to fraction form
    23,267,344/49,769,504 = 49,769,504/x
  3. Step 3: Cross multiply
    23,267,344x = 49,769,504 × 49,769,504
  4. Step 4: Simplify right side
    23,267,344x = 2,477,003,528,406,016
  5. Step 5: Solve for x
    x = 2,477,003,528,406,016/23,267,344
  6. Step 6: Final answer
    x = 106,458,370.51

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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.