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Finding the Third Proportional to 18,463,436.16 and 42,739,513.31

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Solution

The third proportional to 18,463,436.16 and 42,739,513.31 is: 98,934,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,463,436.16 : 42,739,513.31 = 42,739,513.31 : x
  2. Step 2: Convert to fraction form
    18,463,436.16/42,739,513.31 = 42,739,513.31/x
  3. Step 3: Cross multiply
    18,463,436.16x = 42,739,513.31 × 42,739,513.31
  4. Step 4: Simplify right side
    18,463,436.16x = 1,826,665,998,189,364.75
  5. Step 5: Solve for x
    x = 1,826,665,998,189,364.75/18,463,436.16
  6. Step 6: Final answer
    x = 98,934,238.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.