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Finding the Third Proportional to 84,593,649 and 127,450,538

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Solution

The third proportional to 84,593,649 and 127,450,538 is: 192,019,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593,649 : 127,450,538 = 127,450,538 : x
  2. Step 2: Convert to fraction form
    84,593,649/127,450,538 = 127,450,538/x
  3. Step 3: Cross multiply
    84,593,649x = 127,450,538 × 127,450,538
  4. Step 4: Simplify right side
    84,593,649x = 16,243,639,636,489,444
  5. Step 5: Solve for x
    x = 16,243,639,636,489,444/84,593,649
  6. Step 6: Final answer
    x = 192,019,611.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.