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Finding the Third Proportional to 5,431,994 and 11,948,692

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Solution

The third proportional to 5,431,994 and 11,948,692 is: 26,283,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,994 : 11,948,692 = 11,948,692 : x
  2. Step 2: Convert to fraction form
    5,431,994/11,948,692 = 11,948,692/x
  3. Step 3: Cross multiply
    5,431,994x = 11,948,692 × 11,948,692
  4. Step 4: Simplify right side
    5,431,994x = 142,771,240,510,864
  5. Step 5: Solve for x
    x = 142,771,240,510,864/5,431,994
  6. Step 6: Final answer
    x = 26,283,394.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.