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Finding the Third Proportional to 12,885,535.13 and 18,024,340.50

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Solution

The third proportional to 12,885,535.13 and 18,024,340.50 is: 25,212,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885,535.13 : 18,024,340.50 = 18,024,340.50 : x
  2. Step 2: Convert to fraction form
    12,885,535.13/18,024,340.50 = 18,024,340.50/x
  3. Step 3: Cross multiply
    12,885,535.13x = 18,024,340.50 × 18,024,340.50
  4. Step 4: Simplify right side
    12,885,535.13x = 324,876,850,459,940.25
  5. Step 5: Solve for x
    x = 324,876,850,459,940.25/12,885,535.13
  6. Step 6: Final answer
    x = 25,212,522.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.