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Finding the Third Proportional to 7,816,348.13 and 17,222,908.50

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Solution

The third proportional to 7,816,348.13 and 17,222,908.50 is: 37,949,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,348.13 : 17,222,908.50 = 17,222,908.50 : x
  2. Step 2: Convert to fraction form
    7,816,348.13/17,222,908.50 = 17,222,908.50/x
  3. Step 3: Cross multiply
    7,816,348.13x = 17,222,908.50 × 17,222,908.50
  4. Step 4: Simplify right side
    7,816,348.13x = 296,628,577,199,372.25
  5. Step 5: Solve for x
    x = 296,628,577,199,372.25/7,816,348.13
  6. Step 6: Final answer
    x = 37,949,765.35

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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.