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Finding the Third Proportional to 19,198,998.11 and 41,983,608.34

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Solution

The third proportional to 19,198,998.11 and 41,983,608.34 is: 91,808,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198,998.11 : 41,983,608.34 = 41,983,608.34 : x
  2. Step 2: Convert to fraction form
    19,198,998.11/41,983,608.34 = 41,983,608.34/x
  3. Step 3: Cross multiply
    19,198,998.11x = 41,983,608.34 × 41,983,608.34
  4. Step 4: Simplify right side
    19,198,998.11x = 1,762,623,369,233,502.75
  5. Step 5: Solve for x
    x = 1,762,623,369,233,502.75/19,198,998.11
  6. Step 6: Final answer
    x = 91,808,091.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.