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Finding the Third Proportional to 65,647,730 and 151,962,611

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Solution

The third proportional to 65,647,730 and 151,962,611 is: 351,765,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647,730 : 151,962,611 = 151,962,611 : x
  2. Step 2: Convert to fraction form
    65,647,730/151,962,611 = 151,962,611/x
  3. Step 3: Cross multiply
    65,647,730x = 151,962,611 × 151,962,611
  4. Step 4: Simplify right side
    65,647,730x = 23,092,635,141,937,320
  5. Step 5: Solve for x
    x = 23,092,635,141,937,320/65,647,730
  6. Step 6: Final answer
    x = 351,765,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.