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Finding the Third Proportional to 6,853,260 and 10,281,198

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Solution

The third proportional to 6,853,260 and 10,281,198 is: 15,423,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,260 : 10,281,198 = 10,281,198 : x
  2. Step 2: Convert to fraction form
    6,853,260/10,281,198 = 10,281,198/x
  3. Step 3: Cross multiply
    6,853,260x = 10,281,198 × 10,281,198
  4. Step 4: Simplify right side
    6,853,260x = 105,703,032,315,204
  5. Step 5: Solve for x
    x = 105,703,032,315,204/6,853,260
  6. Step 6: Final answer
    x = 15,423,759.25

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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.