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Finding the Third Proportional to 5,107,923 and 11,112,645

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Solution

The third proportional to 5,107,923 and 11,112,645 is: 24,176,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,923 : 11,112,645 = 11,112,645 : x
  2. Step 2: Convert to fraction form
    5,107,923/11,112,645 = 11,112,645/x
  3. Step 3: Cross multiply
    5,107,923x = 11,112,645 × 11,112,645
  4. Step 4: Simplify right side
    5,107,923x = 123,490,878,896,025
  5. Step 5: Solve for x
    x = 123,490,878,896,025/5,107,923
  6. Step 6: Final answer
    x = 24,176,339.17

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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.