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Finding the Third Proportional to 9,786,933 and 23,028,853.50

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Solution

The third proportional to 9,786,933 and 23,028,853.50 is: 54,187,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,933 : 23,028,853.50 = 23,028,853.50 : x
  2. Step 2: Convert to fraction form
    9,786,933/23,028,853.50 = 23,028,853.50/x
  3. Step 3: Cross multiply
    9,786,933x = 23,028,853.50 × 23,028,853.50
  4. Step 4: Simplify right side
    9,786,933x = 530,328,093,524,462.25
  5. Step 5: Solve for x
    x = 530,328,093,524,462.25/9,786,933
  6. Step 6: Final answer
    x = 54,187,363.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.