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Finding the Third Proportional to 9,134,086.50 and 19,023,847.31

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Solution

The third proportional to 9,134,086.50 and 19,023,847.31 is: 39,621,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134,086.50 : 19,023,847.31 = 19,023,847.31 : x
  2. Step 2: Convert to fraction form
    9,134,086.50/19,023,847.31 = 19,023,847.31/x
  3. Step 3: Cross multiply
    9,134,086.50x = 19,023,847.31 × 19,023,847.31
  4. Step 4: Simplify right side
    9,134,086.50x = 361,906,766,569,313.50
  5. Step 5: Solve for x
    x = 361,906,766,569,313.50/9,134,086.50
  6. Step 6: Final answer
    x = 39,621,561.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.