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Finding the Third Proportional to 30,449,083 and 71,050,315

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Solution

The third proportional to 30,449,083 and 71,050,315 is: 165,789,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,083 : 71,050,315 = 71,050,315 : x
  2. Step 2: Convert to fraction form
    30,449,083/71,050,315 = 71,050,315/x
  3. Step 3: Cross multiply
    30,449,083x = 71,050,315 × 71,050,315
  4. Step 4: Simplify right side
    30,449,083x = 5,048,147,261,599,225
  5. Step 5: Solve for x
    x = 5,048,147,261,599,225/30,449,083
  6. Step 6: Final answer
    x = 165,789,796.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.