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Finding the Third Proportional to 308,645,560,092 and 664,583,700,480

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Solution

The third proportional to 308,645,560,092 and 664,583,700,480 is: 1,430,999,022,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,645,560,092 : 664,583,700,480 = 664,583,700,480 : x
  2. Step 2: Convert to fraction form
    308,645,560,092/664,583,700,480 = 664,583,700,480/x
  3. Step 3: Cross multiply
    308,645,560,092x = 664,583,700,480 × 664,583,700,480
  4. Step 4: Simplify right side
    308,645,560,092x = 441,671,494,943,690,352,230,400
  5. Step 5: Solve for x
    x = 441,671,494,943,690,352,230,400/308,645,560,092
  6. Step 6: Final answer
    x = 1,430,999,022,995.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.