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Finding the Third Proportional to 4,998,752,317,588.50 and 7,647,531,358,279.50

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Solution

The third proportional to 4,998,752,317,588.50 and 7,647,531,358,279.50 is: 11,699,866,718,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998,752,317,588.50 : 7,647,531,358,279.50 = 7,647,531,358,279.50 : x
  2. Step 2: Convert to fraction form
    4,998,752,317,588.50/7,647,531,358,279.50 = 7,647,531,358,279.50/x
  3. Step 3: Cross multiply
    4,998,752,317,588.50x = 7,647,531,358,279.50 × 7,647,531,358,279.50
  4. Step 4: Simplify right side
    4,998,752,317,588.50x = 58,484,735,875,868,295,635,664,896
  5. Step 5: Solve for x
    x = 58,484,735,875,868,295,635,664,896/4,998,752,317,588.50
  6. Step 6: Final answer
    x = 11,699,866,718,758.04

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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.