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Finding the Third Proportional to 4,709,400 and 10,171,665

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Solution

The third proportional to 4,709,400 and 10,171,665 is: 21,969,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,400 : 10,171,665 = 10,171,665 : x
  2. Step 2: Convert to fraction form
    4,709,400/10,171,665 = 10,171,665/x
  3. Step 3: Cross multiply
    4,709,400x = 10,171,665 × 10,171,665
  4. Step 4: Simplify right side
    4,709,400x = 103,462,768,872,225
  5. Step 5: Solve for x
    x = 103,462,768,872,225/4,709,400
  6. Step 6: Final answer
    x = 21,969,416.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.