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Finding the Third Proportional to 34,111,812 and 74,200,361

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Solution

The third proportional to 34,111,812 and 74,200,361 is: 161,401,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111,812 : 74,200,361 = 74,200,361 : x
  2. Step 2: Convert to fraction form
    34,111,812/74,200,361 = 74,200,361/x
  3. Step 3: Cross multiply
    34,111,812x = 74,200,361 × 74,200,361
  4. Step 4: Simplify right side
    34,111,812x = 5,505,693,572,530,321
  5. Step 5: Solve for x
    x = 5,505,693,572,530,321/34,111,812
  6. Step 6: Final answer
    x = 161,401,381.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.