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Finding the Third Proportional to 6,734,541 and 10,269,952

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Solution

The third proportional to 6,734,541 and 10,269,952 is: 15,661,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,541 : 10,269,952 = 10,269,952 : x
  2. Step 2: Convert to fraction form
    6,734,541/10,269,952 = 10,269,952/x
  3. Step 3: Cross multiply
    6,734,541x = 10,269,952 × 10,269,952
  4. Step 4: Simplify right side
    6,734,541x = 105,471,914,082,304
  5. Step 5: Solve for x
    x = 105,471,914,082,304/6,734,541
  6. Step 6: Final answer
    x = 15,661,336.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.