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Finding the Third Proportional to 9,209,123 and 20,052,032

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Solution

The third proportional to 9,209,123 and 20,052,032 is: 43,661,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209,123 : 20,052,032 = 20,052,032 : x
  2. Step 2: Convert to fraction form
    9,209,123/20,052,032 = 20,052,032/x
  3. Step 3: Cross multiply
    9,209,123x = 20,052,032 × 20,052,032
  4. Step 4: Simplify right side
    9,209,123x = 402,083,987,329,024
  5. Step 5: Solve for x
    x = 402,083,987,329,024/9,209,123
  6. Step 6: Final answer
    x = 43,661,485.17

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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.