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Finding the Third Proportional to 34,682,658 and 80,314,731

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Solution

The third proportional to 34,682,658 and 80,314,731 is: 185,985,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682,658 : 80,314,731 = 80,314,731 : x
  2. Step 2: Convert to fraction form
    34,682,658/80,314,731 = 80,314,731/x
  3. Step 3: Cross multiply
    34,682,658x = 80,314,731 × 80,314,731
  4. Step 4: Simplify right side
    34,682,658x = 6,450,456,015,602,361
  5. Step 5: Solve for x
    x = 6,450,456,015,602,361/34,682,658
  6. Step 6: Final answer
    x = 185,985,053.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.