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Finding the Third Proportional to 6,965,268 and 10,553,241

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Solution

The third proportional to 6,965,268 and 10,553,241 is: 15,989,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,268 : 10,553,241 = 10,553,241 : x
  2. Step 2: Convert to fraction form
    6,965,268/10,553,241 = 10,553,241/x
  3. Step 3: Cross multiply
    6,965,268x = 10,553,241 × 10,553,241
  4. Step 4: Simplify right side
    6,965,268x = 111,370,895,604,081
  5. Step 5: Solve for x
    x = 111,370,895,604,081/6,965,268
  6. Step 6: Final answer
    x = 15,989,463.09

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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.