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Finding the Third Proportional to 9,182,542.50 and 20,018,461.50

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Solution

The third proportional to 9,182,542.50 and 20,018,461.50 is: 43,641,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182,542.50 : 20,018,461.50 = 20,018,461.50 : x
  2. Step 2: Convert to fraction form
    9,182,542.50/20,018,461.50 = 20,018,461.50/x
  3. Step 3: Cross multiply
    9,182,542.50x = 20,018,461.50 × 20,018,461.50
  4. Step 4: Simplify right side
    9,182,542.50x = 400,738,800,826,982.25
  5. Step 5: Solve for x
    x = 400,738,800,826,982.25/9,182,542.50
  6. Step 6: Final answer
    x = 43,641,377.19

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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.