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Finding the Third Proportional to 4,009,760 and 9,356,430

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Solution

The third proportional to 4,009,760 and 9,356,430 is: 21,832,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009,760 : 9,356,430 = 9,356,430 : x
  2. Step 2: Convert to fraction form
    4,009,760/9,356,430 = 9,356,430/x
  3. Step 3: Cross multiply
    4,009,760x = 9,356,430 × 9,356,430
  4. Step 4: Simplify right side
    4,009,760x = 87,542,782,344,900
  5. Step 5: Solve for x
    x = 87,542,782,344,900/4,009,760
  6. Step 6: Final answer
    x = 21,832,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.