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Finding the Third Proportional to 12,782,046 and 17,978,800.50

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Solution

The third proportional to 12,782,046 and 17,978,800.50 is: 25,288,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782,046 : 17,978,800.50 = 17,978,800.50 : x
  2. Step 2: Convert to fraction form
    12,782,046/17,978,800.50 = 17,978,800.50/x
  3. Step 3: Cross multiply
    12,782,046x = 17,978,800.50 × 17,978,800.50
  4. Step 4: Simplify right side
    12,782,046x = 323,237,267,418,800.25
  5. Step 5: Solve for x
    x = 323,237,267,418,800.25/12,782,046
  6. Step 6: Final answer
    x = 25,288,382.42

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.