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Finding the Third Proportional to 30,732,162,549 and 68,530,645,110

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Solution

The third proportional to 30,732,162,549 and 68,530,645,110 is: 152,818,706,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732,162,549 : 68,530,645,110 = 68,530,645,110 : x
  2. Step 2: Convert to fraction form
    30,732,162,549/68,530,645,110 = 68,530,645,110/x
  3. Step 3: Cross multiply
    30,732,162,549x = 68,530,645,110 × 68,530,645,110
  4. Step 4: Simplify right side
    30,732,162,549x = 4,696,449,319,192,766,709,760
  5. Step 5: Solve for x
    x = 4,696,449,319,192,766,709,760/30,732,162,549
  6. Step 6: Final answer
    x = 152,818,706,191.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.