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Finding the Third Proportional to 39,381,959,519 and 84,736,920,410

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Solution

The third proportional to 39,381,959,519 and 84,736,920,410 is: 182,325,759,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381,959,519 : 84,736,920,410 = 84,736,920,410 : x
  2. Step 2: Convert to fraction form
    39,381,959,519/84,736,920,410 = 84,736,920,410/x
  3. Step 3: Cross multiply
    39,381,959,519x = 84,736,920,410 × 84,736,920,410
  4. Step 4: Simplify right side
    39,381,959,519x = 7,180,345,680,570,674,577,408
  5. Step 5: Solve for x
    x = 7,180,345,680,570,674,577,408/39,381,959,519
  6. Step 6: Final answer
    x = 182,325,759,517.03

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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.