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Finding the Third Proportional to 4,009,401 and 8,412,462

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Solution

The third proportional to 4,009,401 and 8,412,462 is: 17,650,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009,401 : 8,412,462 = 8,412,462 : x
  2. Step 2: Convert to fraction form
    4,009,401/8,412,462 = 8,412,462/x
  3. Step 3: Cross multiply
    4,009,401x = 8,412,462 × 8,412,462
  4. Step 4: Simplify right side
    4,009,401x = 70,769,516,901,444
  5. Step 5: Solve for x
    x = 70,769,516,901,444/4,009,401
  6. Step 6: Final answer
    x = 17,650,895.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.