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Finding the Third Proportional to 7,694,418 and 12,007,458

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Solution

The third proportional to 7,694,418 and 12,007,458 is: 18,738,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694,418 : 12,007,458 = 12,007,458 : x
  2. Step 2: Convert to fraction form
    7,694,418/12,007,458 = 12,007,458/x
  3. Step 3: Cross multiply
    7,694,418x = 12,007,458 × 12,007,458
  4. Step 4: Simplify right side
    7,694,418x = 144,179,047,621,764
  5. Step 5: Solve for x
    x = 144,179,047,621,764/7,694,418
  6. Step 6: Final answer
    x = 18,738,135.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.