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Finding the Third Proportional to 65,647,732 and 151,962,620

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Solution

The third proportional to 65,647,732 and 151,962,620 is: 351,765,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647,732 : 151,962,620 = 151,962,620 : x
  2. Step 2: Convert to fraction form
    65,647,732/151,962,620 = 151,962,620/x
  3. Step 3: Cross multiply
    65,647,732x = 151,962,620 × 151,962,620
  4. Step 4: Simplify right side
    65,647,732x = 23,092,637,877,264,400
  5. Step 5: Solve for x
    x = 23,092,637,877,264,400/65,647,732
  6. Step 6: Final answer
    x = 351,765,966.22

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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.