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Finding the Third Proportional to 2,261,221.31 and 4,921,023.38

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Solution

The third proportional to 2,261,221.31 and 4,921,023.38 is: 10,709,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261,221.31 : 4,921,023.38 = 4,921,023.38 : x
  2. Step 2: Convert to fraction form
    2,261,221.31/4,921,023.38 = 4,921,023.38/x
  3. Step 3: Cross multiply
    2,261,221.31x = 4,921,023.38 × 4,921,023.38
  4. Step 4: Simplify right side
    2,261,221.31x = 24,216,471,057,296.39
  5. Step 5: Solve for x
    x = 24,216,471,057,296.39/2,261,221.31
  6. Step 6: Final answer
    x = 10,709,465.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.