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Finding the Third Proportional to 8,155,201.50 and 12,232,012.50

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Solution

The third proportional to 8,155,201.50 and 12,232,012.50 is: 18,346,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155,201.50 : 12,232,012.50 = 12,232,012.50 : x
  2. Step 2: Convert to fraction form
    8,155,201.50/12,232,012.50 = 12,232,012.50/x
  3. Step 3: Cross multiply
    8,155,201.50x = 12,232,012.50 × 12,232,012.50
  4. Step 4: Simplify right side
    8,155,201.50x = 149,622,129,800,156.25
  5. Step 5: Solve for x
    x = 149,622,129,800,156.25/8,155,201.50
  6. Step 6: Final answer
    x = 18,346,834.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.