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Finding the Third Proportional to 30,640,262 and 65,651,760

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Solution

The third proportional to 30,640,262 and 65,651,760 is: 140,669,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640,262 : 65,651,760 = 65,651,760 : x
  2. Step 2: Convert to fraction form
    30,640,262/65,651,760 = 65,651,760/x
  3. Step 3: Cross multiply
    30,640,262x = 65,651,760 × 65,651,760
  4. Step 4: Simplify right side
    30,640,262x = 4,310,153,591,097,600
  5. Step 5: Solve for x
    x = 4,310,153,591,097,600/30,640,262
  6. Step 6: Final answer
    x = 140,669,606.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.