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Finding the Third Proportional to 7,816,350 and 17,222,913

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Solution

The third proportional to 7,816,350 and 17,222,913 is: 37,949,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,350 : 17,222,913 = 17,222,913 : x
  2. Step 2: Convert to fraction form
    7,816,350/17,222,913 = 17,222,913/x
  3. Step 3: Cross multiply
    7,816,350x = 17,222,913 × 17,222,913
  4. Step 4: Simplify right side
    7,816,350x = 296,628,732,205,569
  5. Step 5: Solve for x
    x = 296,628,732,205,569/7,816,350
  6. Step 6: Final answer
    x = 37,949,776.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.