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Finding the Third Proportional to 3,471,017 and 7,475,432

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Solution

The third proportional to 3,471,017 and 7,475,432 is: 16,099,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,017 : 7,475,432 = 7,475,432 : x
  2. Step 2: Convert to fraction form
    3,471,017/7,475,432 = 7,475,432/x
  3. Step 3: Cross multiply
    3,471,017x = 7,475,432 × 7,475,432
  4. Step 4: Simplify right side
    3,471,017x = 55,882,083,586,624
  5. Step 5: Solve for x
    x = 55,882,083,586,624/3,471,017
  6. Step 6: Final answer
    x = 16,099,628.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.