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Finding the Third Proportional to 5,225,022 and 7,916,265

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Solution

The third proportional to 5,225,022 and 7,916,265 is: 11,993,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225,022 : 7,916,265 = 7,916,265 : x
  2. Step 2: Convert to fraction form
    5,225,022/7,916,265 = 7,916,265/x
  3. Step 3: Cross multiply
    5,225,022x = 7,916,265 × 7,916,265
  4. Step 4: Simplify right side
    5,225,022x = 62,667,251,550,225
  5. Step 5: Solve for x
    x = 62,667,251,550,225/5,225,022
  6. Step 6: Final answer
    x = 11,993,681.85

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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.