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Finding the Third Proportional to 11,625,442.50 and 19,142,505

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Solution

The third proportional to 11,625,442.50 and 19,142,505 is: 31,520,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625,442.50 : 19,142,505 = 19,142,505 : x
  2. Step 2: Convert to fraction form
    11,625,442.50/19,142,505 = 19,142,505/x
  3. Step 3: Cross multiply
    11,625,442.50x = 19,142,505 × 19,142,505
  4. Step 4: Simplify right side
    11,625,442.50x = 366,435,497,675,025
  5. Step 5: Solve for x
    x = 366,435,497,675,025/11,625,442.50
  6. Step 6: Final answer
    x = 31,520,133.33

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.