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Finding the Third Proportional to 10,082,757 and 15,497,922

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Solution

The third proportional to 10,082,757 and 15,497,922 is: 23,821,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,757 : 15,497,922 = 15,497,922 : x
  2. Step 2: Convert to fraction form
    10,082,757/15,497,922 = 15,497,922/x
  3. Step 3: Cross multiply
    10,082,757x = 15,497,922 × 15,497,922
  4. Step 4: Simplify right side
    10,082,757x = 240,185,586,318,084
  5. Step 5: Solve for x
    x = 240,185,586,318,084/10,082,757
  6. Step 6: Final answer
    x = 23,821,419.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.