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Finding the Third Proportional to 2,146,277.25 and 4,665,286.13

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Solution

The third proportional to 2,146,277.25 and 4,665,286.13 is: 10,140,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,277.25 : 4,665,286.13 = 4,665,286.13 : x
  2. Step 2: Convert to fraction form
    2,146,277.25/4,665,286.13 = 4,665,286.13/x
  3. Step 3: Cross multiply
    2,146,277.25x = 4,665,286.13 × 4,665,286.13
  4. Step 4: Simplify right side
    2,146,277.25x = 21,764,894,628,117.52
  5. Step 5: Solve for x
    x = 21,764,894,628,117.52/2,146,277.25
  6. Step 6: Final answer
    x = 10,140,765.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.