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Finding the Third Proportional to 4,377,106 and 6,548,131

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Solution

The third proportional to 4,377,106 and 6,548,131 is: 9,795,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377,106 : 6,548,131 = 6,548,131 : x
  2. Step 2: Convert to fraction form
    4,377,106/6,548,131 = 6,548,131/x
  3. Step 3: Cross multiply
    4,377,106x = 6,548,131 × 6,548,131
  4. Step 4: Simplify right side
    4,377,106x = 42,878,019,593,161
  5. Step 5: Solve for x
    x = 42,878,019,593,161/4,377,106
  6. Step 6: Final answer
    x = 9,795,974.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.