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Finding the Third Proportional to 4,680,122,735,628 and 9,491,839,881,282

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Solution

The third proportional to 4,680,122,735,628 and 9,491,839,881,282 is: 19,250,568,718,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680,122,735,628 : 9,491,839,881,282 = 9,491,839,881,282 : x
  2. Step 2: Convert to fraction form
    4,680,122,735,628/9,491,839,881,282 = 9,491,839,881,282/x
  3. Step 3: Cross multiply
    4,680,122,735,628x = 9,491,839,881,282 × 9,491,839,881,282
  4. Step 4: Simplify right side
    4,680,122,735,628x = 90,095,024,331,895,487,974,080,512
  5. Step 5: Solve for x
    x = 90,095,024,331,895,487,974,080,512/4,680,122,735,628
  6. Step 6: Final answer
    x = 19,250,568,718,216.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.