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Finding the Third Proportional to 39,381,959,509.88 and 84,736,920,392.02

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Solution

The third proportional to 39,381,959,509.88 and 84,736,920,392.02 is: 182,325,759,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381,959,509.88 : 84,736,920,392.02 = 84,736,920,392.02 : x
  2. Step 2: Convert to fraction form
    39,381,959,509.88/84,736,920,392.02 = 84,736,920,392.02/x
  3. Step 3: Cross multiply
    39,381,959,509.88x = 84,736,920,392.02 × 84,736,920,392.02
  4. Step 4: Simplify right side
    39,381,959,509.88x = 7,180,345,677,523,197,100,032
  5. Step 5: Solve for x
    x = 7,180,345,677,523,197,100,032/39,381,959,509.88
  6. Step 6: Final answer
    x = 182,325,759,481.90

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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.