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Finding the Third Proportional to 30,457,592 and 65,770,460

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Solution

The third proportional to 30,457,592 and 65,770,460 is: 142,025,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457,592 : 65,770,460 = 65,770,460 : x
  2. Step 2: Convert to fraction form
    30,457,592/65,770,460 = 65,770,460/x
  3. Step 3: Cross multiply
    30,457,592x = 65,770,460 × 65,770,460
  4. Step 4: Simplify right side
    30,457,592x = 4,325,753,408,611,600
  5. Step 5: Solve for x
    x = 4,325,753,408,611,600/30,457,592
  6. Step 6: Final answer
    x = 142,025,456.53

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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.