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Finding the Third Proportional to 3,016,448 and 6,505,216

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Solution

The third proportional to 3,016,448 and 6,505,216 is: 14,029,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,448 : 6,505,216 = 6,505,216 : x
  2. Step 2: Convert to fraction form
    3,016,448/6,505,216 = 6,505,216/x
  3. Step 3: Cross multiply
    3,016,448x = 6,505,216 × 6,505,216
  4. Step 4: Simplify right side
    3,016,448x = 42,317,835,206,656
  5. Step 5: Solve for x
    x = 42,317,835,206,656/3,016,448
  6. Step 6: Final answer
    x = 14,029,028.58

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Why These Related Problems?

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