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Finding the Third Proportional to 30,158,676 and 65,100,456

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Solution

The third proportional to 30,158,676 and 65,100,456 is: 140,525,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158,676 : 65,100,456 = 65,100,456 : x
  2. Step 2: Convert to fraction form
    30,158,676/65,100,456 = 65,100,456/x
  3. Step 3: Cross multiply
    30,158,676x = 65,100,456 × 65,100,456
  4. Step 4: Simplify right side
    30,158,676x = 4,238,069,371,407,936
  5. Step 5: Solve for x
    x = 4,238,069,371,407,936/30,158,676
  6. Step 6: Final answer
    x = 140,525,710.46

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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.