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Finding the Third Proportional to 7,181,954 and 10,077,704

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Solution

The third proportional to 7,181,954 and 10,077,704 is: 14,141,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181,954 : 10,077,704 = 10,077,704 : x
  2. Step 2: Convert to fraction form
    7,181,954/10,077,704 = 10,077,704/x
  3. Step 3: Cross multiply
    7,181,954x = 10,077,704 × 10,077,704
  4. Step 4: Simplify right side
    7,181,954x = 101,560,117,911,616
  5. Step 5: Solve for x
    x = 101,560,117,911,616/7,181,954
  6. Step 6: Final answer
    x = 14,141,014.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.