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Finding the Third Proportional to 30,463,524 and 65,942,856

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Solution

The third proportional to 30,463,524 and 65,942,856 is: 142,743,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463,524 : 65,942,856 = 65,942,856 : x
  2. Step 2: Convert to fraction form
    30,463,524/65,942,856 = 65,942,856/x
  3. Step 3: Cross multiply
    30,463,524x = 65,942,856 × 65,942,856
  4. Step 4: Simplify right side
    30,463,524x = 4,348,460,257,436,736
  5. Step 5: Solve for x
    x = 4,348,460,257,436,736/30,463,524
  6. Step 6: Final answer
    x = 142,743,178.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.