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Finding the Third Proportional to 3,457,233 and 7,468,398

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Solution

The third proportional to 3,457,233 and 7,468,398 is: 16,133,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,233 : 7,468,398 = 7,468,398 : x
  2. Step 2: Convert to fraction form
    3,457,233/7,468,398 = 7,468,398/x
  3. Step 3: Cross multiply
    3,457,233x = 7,468,398 × 7,468,398
  4. Step 4: Simplify right side
    3,457,233x = 55,776,968,686,404
  5. Step 5: Solve for x
    x = 55,776,968,686,404/3,457,233
  6. Step 6: Final answer
    x = 16,133,413.25

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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.