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Finding the Third Proportional to 3,400,320.94 and 7,184,429.16

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Solution

The third proportional to 3,400,320.94 and 7,184,429.16 is: 15,179,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400,320.94 : 7,184,429.16 = 7,184,429.16 : x
  2. Step 2: Convert to fraction form
    3,400,320.94/7,184,429.16 = 7,184,429.16/x
  3. Step 3: Cross multiply
    3,400,320.94x = 7,184,429.16 × 7,184,429.16
  4. Step 4: Simplify right side
    3,400,320.94x = 51,616,022,301,175.09
  5. Step 5: Solve for x
    x = 51,616,022,301,175.09/3,400,320.94
  6. Step 6: Final answer
    x = 15,179,750.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.