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Finding the Third Proportional to 11,802,049,641 and 24,078,186,570

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Solution

The third proportional to 11,802,049,641 and 24,078,186,570 is: 49,123,591,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802,049,641 : 24,078,186,570 = 24,078,186,570 : x
  2. Step 2: Convert to fraction form
    11,802,049,641/24,078,186,570 = 24,078,186,570/x
  3. Step 3: Cross multiply
    11,802,049,641x = 24,078,186,570 × 24,078,186,570
  4. Step 4: Simplify right side
    11,802,049,641x = 579,759,068,499,728,334,848
  5. Step 5: Solve for x
    x = 579,759,068,499,728,334,848/11,802,049,641
  6. Step 6: Final answer
    x = 49,123,591,760.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.