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Finding the Third Proportional to 26,932,905 and 40,682,209.50

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Solution

The third proportional to 26,932,905 and 40,682,209.50 is: 61,450,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,932,905 : 40,682,209.50 = 40,682,209.50 : x
  2. Step 2: Convert to fraction form
    26,932,905/40,682,209.50 = 40,682,209.50/x
  3. Step 3: Cross multiply
    26,932,905x = 40,682,209.50 × 40,682,209.50
  4. Step 4: Simplify right side
    26,932,905x = 1,655,042,169,801,890.25
  5. Step 5: Solve for x
    x = 1,655,042,169,801,890.25/26,932,905
  6. Step 6: Final answer
    x = 61,450,562.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.