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Finding the Third Proportional to 11,406,761 and 23,757,091

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Solution

The third proportional to 11,406,761 and 23,757,091 is: 49,479,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406,761 : 23,757,091 = 23,757,091 : x
  2. Step 2: Convert to fraction form
    11,406,761/23,757,091 = 23,757,091/x
  3. Step 3: Cross multiply
    11,406,761x = 23,757,091 × 23,757,091
  4. Step 4: Simplify right side
    11,406,761x = 564,399,372,782,281
  5. Step 5: Solve for x
    x = 564,399,372,782,281/11,406,761
  6. Step 6: Final answer
    x = 49,479,372.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.