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Finding the Third Proportional to 9,209,123 and 20,052,029

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Solution

The third proportional to 9,209,123 and 20,052,029 is: 43,661,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209,123 : 20,052,029 = 20,052,029 : x
  2. Step 2: Convert to fraction form
    9,209,123/20,052,029 = 20,052,029/x
  3. Step 3: Cross multiply
    9,209,123x = 20,052,029 × 20,052,029
  4. Step 4: Simplify right side
    9,209,123x = 402,083,867,016,841
  5. Step 5: Solve for x
    x = 402,083,867,016,841/9,209,123
  6. Step 6: Final answer
    x = 43,661,472.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.