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Finding the Third Proportional to 16,636,189,950 and 36,991,994,496

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Solution

The third proportional to 16,636,189,950 and 36,991,994,496 is: 82,254,870,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636,189,950 : 36,991,994,496 = 36,991,994,496 : x
  2. Step 2: Convert to fraction form
    16,636,189,950/36,991,994,496 = 36,991,994,496/x
  3. Step 3: Cross multiply
    16,636,189,950x = 36,991,994,496 × 36,991,994,496
  4. Step 4: Simplify right side
    16,636,189,950x = 1,368,407,656,792,094,408,704
  5. Step 5: Solve for x
    x = 1,368,407,656,792,094,408,704/16,636,189,950
  6. Step 6: Final answer
    x = 82,254,870,911.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.