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Finding the Third Proportional to 4,998,752,317,604 and 7,647,531,358,302

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Solution

The third proportional to 4,998,752,317,604 and 7,647,531,358,302 is: 11,699,866,718,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998,752,317,604 : 7,647,531,358,302 = 7,647,531,358,302 : x
  2. Step 2: Convert to fraction form
    4,998,752,317,604/7,647,531,358,302 = 7,647,531,358,302/x
  3. Step 3: Cross multiply
    4,998,752,317,604x = 7,647,531,358,302 × 7,647,531,358,302
  4. Step 4: Simplify right side
    4,998,752,317,604x = 58,484,735,876,212,434,185,224,192
  5. Step 5: Solve for x
    x = 58,484,735,876,212,434,185,224,192/4,998,752,317,604
  6. Step 6: Final answer
    x = 11,699,866,718,790.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.