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Finding the Third Proportional to 4,186,665 and 9,014,832

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Solution

The third proportional to 4,186,665 and 9,014,832 is: 19,410,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186,665 : 9,014,832 = 9,014,832 : x
  2. Step 2: Convert to fraction form
    4,186,665/9,014,832 = 9,014,832/x
  3. Step 3: Cross multiply
    4,186,665x = 9,014,832 × 9,014,832
  4. Step 4: Simplify right side
    4,186,665x = 81,267,195,988,224
  5. Step 5: Solve for x
    x = 81,267,195,988,224/4,186,665
  6. Step 6: Final answer
    x = 19,410,962.18

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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.