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Finding the Third Proportional to 3,471,023 and 7,475,444

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Solution

The third proportional to 3,471,023 and 7,475,444 is: 16,099,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,023 : 7,475,444 = 7,475,444 : x
  2. Step 2: Convert to fraction form
    3,471,023/7,475,444 = 7,475,444/x
  3. Step 3: Cross multiply
    3,471,023x = 7,475,444 × 7,475,444
  4. Step 4: Simplify right side
    3,471,023x = 55,882,262,997,136
  5. Step 5: Solve for x
    x = 55,882,262,997,136/3,471,023
  6. Step 6: Final answer
    x = 16,099,652.18

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